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Finding the Fourth Proportional to 284,314.91, 392,344.29 and 156,987.77

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Solution

The fourth proportional to 284,314.91, 392,344.29 and 156,987.77 is: 216,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,314.91 : 392,344.29 = 156,987.77 : x
  2. Step 2: Convert to fraction form
    284,314.91/392,344.29 = 156,987.77/x
  3. Step 3: Cross multiply
    284,314.91x = 392,344.29 × 156,987.77
  4. Step 4: Simplify right side
    284,314.91x = 61,593,253,197.61
  5. Step 5: Solve for x
    x = 61,593,253,197.61/284,314.91
  6. Step 6: Final answer
    x = 216,637.44

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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.