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Finding the Fourth Proportional to 284,367, 392,423.19 and 163,508.76

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Solution

The fourth proportional to 284,367, 392,423.19 and 163,508.76 is: 225,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,367 : 392,423.19 = 163,508.76 : x
  2. Step 2: Convert to fraction form
    284,367/392,423.19 = 163,508.76/x
  3. Step 3: Cross multiply
    284,367x = 392,423.19 × 163,508.76
  4. Step 4: Simplify right side
    284,367x = 64,164,629,192.14
  5. Step 5: Solve for x
    x = 64,164,629,192.14/284,367
  6. Step 6: Final answer
    x = 225,640.21

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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.