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Finding the Fourth Proportional to 284,215, 392,209.12 and 156,887.88

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Solution

The fourth proportional to 284,215, 392,209.12 and 156,887.88 is: 216,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,215 : 392,209.12 = 156,887.88 : x
  2. Step 2: Convert to fraction form
    284,215/392,209.12 = 156,887.88/x
  3. Step 3: Cross multiply
    284,215x = 392,209.12 × 156,887.88
  4. Step 4: Simplify right side
    284,215x = 61,532,857,353.47
  5. Step 5: Solve for x
    x = 61,532,857,353.47/284,215
  6. Step 6: Final answer
    x = 216,501.09

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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.