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Finding the Fourth Proportional to 610,728.40, 916,092.60 and 459,169.30

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Solution

The fourth proportional to 610,728.40, 916,092.60 and 459,169.30 is: 688,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,728.40 : 916,092.60 = 459,169.30 : x
  2. Step 2: Convert to fraction form
    610,728.40/916,092.60 = 459,169.30/x
  3. Step 3: Cross multiply
    610,728.40x = 916,092.60 × 459,169.30
  4. Step 4: Simplify right side
    610,728.40x = 420,641,597,877.18
  5. Step 5: Solve for x
    x = 420,641,597,877.18/610,728.40
  6. Step 6: Final answer
    x = 688,753.95

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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.