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Finding the Fourth Proportional to 418,487.84, 627,812.57 and 178,598.24

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Solution

The fourth proportional to 418,487.84, 627,812.57 and 178,598.24 is: 267,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,487.84 : 627,812.57 = 178,598.24 : x
  2. Step 2: Convert to fraction form
    418,487.84/627,812.57 = 178,598.24/x
  3. Step 3: Cross multiply
    418,487.84x = 627,812.57 × 178,598.24
  4. Step 4: Simplify right side
    418,487.84x = 112,126,220,728.42
  5. Step 5: Solve for x
    x = 112,126,220,728.42/418,487.84
  6. Step 6: Final answer
    x = 267,931.85

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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.