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Finding the Fourth Proportional to 515,432.84, 773,202.14 and 178,473

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Solution

The fourth proportional to 515,432.84, 773,202.14 and 178,473 is: 267,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,432.84 : 773,202.14 = 178,473 : x
  2. Step 2: Convert to fraction form
    515,432.84/773,202.14 = 178,473/x
  3. Step 3: Cross multiply
    515,432.84x = 773,202.14 × 178,473
  4. Step 4: Simplify right side
    515,432.84x = 137,995,705,532.22
  5. Step 5: Solve for x
    x = 137,995,705,532.22/515,432.84
  6. Step 6: Final answer
    x = 267,727.81

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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.