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Finding the Fourth Proportional to 284,592.42, 392,737.41 and 157,266.90

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Solution

The fourth proportional to 284,592.42, 392,737.41 and 157,266.90 is: 217,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,592.42 : 392,737.41 = 157,266.90 : x
  2. Step 2: Convert to fraction form
    284,592.42/392,737.41 = 157,266.90/x
  3. Step 3: Cross multiply
    284,592.42x = 392,737.41 × 157,266.90
  4. Step 4: Simplify right side
    284,592.42x = 61,764,594,984.73
  5. Step 5: Solve for x
    x = 61,764,594,984.73/284,592.42
  6. Step 6: Final answer
    x = 217,028.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.