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Finding the Fourth Proportional to 610,435.80, 915,653.70 and 542,784.60

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Solution

The fourth proportional to 610,435.80, 915,653.70 and 542,784.60 is: 814,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,435.80 : 915,653.70 = 542,784.60 : x
  2. Step 2: Convert to fraction form
    610,435.80/915,653.70 = 542,784.60/x
  3. Step 3: Cross multiply
    610,435.80x = 915,653.70 × 542,784.60
  4. Step 4: Simplify right side
    610,435.80x = 497,002,727,293.02
  5. Step 5: Solve for x
    x = 497,002,727,293.02/610,435.80
  6. Step 6: Final answer
    x = 814,176.90

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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.