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Finding the Fourth Proportional to 727,640.10, 1,091,978.55 and 307,217.70

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Solution

The fourth proportional to 727,640.10, 1,091,978.55 and 307,217.70 is: 461,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,640.10 : 1,091,978.55 = 307,217.70 : x
  2. Step 2: Convert to fraction form
    727,640.10/1,091,978.55 = 307,217.70/x
  3. Step 3: Cross multiply
    727,640.10x = 1,091,978.55 × 307,217.70
  4. Step 4: Simplify right side
    727,640.10x = 335,475,138,580.34
  5. Step 5: Solve for x
    x = 335,475,138,580.34/727,640.10
  6. Step 6: Final answer
    x = 461,045.42

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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.