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Finding the Fourth Proportional to 457,098.40, 685,647.60 and 260,490.40

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Solution

The fourth proportional to 457,098.40, 685,647.60 and 260,490.40 is: 390,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,098.40 : 685,647.60 = 260,490.40 : x
  2. Step 2: Convert to fraction form
    457,098.40/685,647.60 = 260,490.40/x
  3. Step 3: Cross multiply
    457,098.40x = 685,647.60 × 260,490.40
  4. Step 4: Simplify right side
    457,098.40x = 178,604,617,583.04
  5. Step 5: Solve for x
    x = 178,604,617,583.04/457,098.40
  6. Step 6: Final answer
    x = 390,735.60

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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.