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Finding the Fourth Proportional to 284,280, 392,306.29 and 163,444.92

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Solution

The fourth proportional to 284,280, 392,306.29 and 163,444.92 is: 225,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,280 : 392,306.29 = 163,444.92 : x
  2. Step 2: Convert to fraction form
    284,280/392,306.29 = 163,444.92/x
  3. Step 3: Cross multiply
    284,280x = 392,306.29 × 163,444.92
  4. Step 4: Simplify right side
    284,280x = 64,120,470,184.55
  5. Step 5: Solve for x
    x = 64,120,470,184.55/284,280
  6. Step 6: Final answer
    x = 225,553.93

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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.