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Finding the Fourth Proportional to 457,306.40, 685,959.60 and 308,007.20

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Solution

The fourth proportional to 457,306.40, 685,959.60 and 308,007.20 is: 462,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,306.40 : 685,959.60 = 308,007.20 : x
  2. Step 2: Convert to fraction form
    457,306.40/685,959.60 = 308,007.20/x
  3. Step 3: Cross multiply
    457,306.40x = 685,959.60 × 308,007.20
  4. Step 4: Simplify right side
    457,306.40x = 211,280,495,709.12
  5. Step 5: Solve for x
    x = 211,280,495,709.12/457,306.40
  6. Step 6: Final answer
    x = 462,010.80

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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.