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Finding the Fourth Proportional to 284,185.42, 392,175.92 and 156,861.06

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Solution

The fourth proportional to 284,185.42, 392,175.92 and 156,861.06 is: 216,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,185.42 : 392,175.92 = 156,861.06 : x
  2. Step 2: Convert to fraction form
    284,185.42/392,175.92 = 156,861.06/x
  3. Step 3: Cross multiply
    284,185.42x = 392,175.92 × 156,861.06
  4. Step 4: Simplify right side
    284,185.42x = 61,517,130,517.68
  5. Step 5: Solve for x
    x = 61,517,130,517.68/284,185.42
  6. Step 6: Final answer
    x = 216,468.29

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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.