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Finding the Fourth Proportional to 457,305.10, 685,957.65 and 431,644.30

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Solution

The fourth proportional to 457,305.10, 685,957.65 and 431,644.30 is: 647,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,305.10 : 685,957.65 = 431,644.30 : x
  2. Step 2: Convert to fraction form
    457,305.10/685,957.65 = 431,644.30/x
  3. Step 3: Cross multiply
    457,305.10x = 685,957.65 × 431,644.30
  4. Step 4: Simplify right side
    457,305.10x = 296,089,709,663.90
  5. Step 5: Solve for x
    x = 296,089,709,663.90/457,305.10
  6. Step 6: Final answer
    x = 647,466.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.