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Finding the Fourth Proportional to 577,120.12, 865,679.96 and 156,396

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Solution

The fourth proportional to 577,120.12, 865,679.96 and 156,396 is: 234,593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,120.12 : 865,679.96 = 156,396 : x
  2. Step 2: Convert to fraction form
    577,120.12/865,679.96 = 156,396/x
  3. Step 3: Cross multiply
    577,120.12x = 865,679.96 × 156,396
  4. Step 4: Simplify right side
    577,120.12x = 135,388,883,024.16
  5. Step 5: Solve for x
    x = 135,388,883,024.16/577,120.12
  6. Step 6: Final answer
    x = 234,593.94

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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.