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Finding the Fourth Proportional to 577,152.87, 865,729.31 and 156,428.74

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Solution

The fourth proportional to 577,152.87, 865,729.31 and 156,428.74 is: 234,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,152.87 : 865,729.31 = 156,428.74 : x
  2. Step 2: Convert to fraction form
    577,152.87/865,729.31 = 156,428.74/x
  3. Step 3: Cross multiply
    577,152.87x = 865,729.31 × 156,428.74
  4. Step 4: Simplify right side
    577,152.87x = 135,424,945,144.37
  5. Step 5: Solve for x
    x = 135,424,945,144.37/577,152.87
  6. Step 6: Final answer
    x = 234,643.11

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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.