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Finding the Fourth Proportional to 284,081, 392,016.34 and 156,731.72

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Solution

The fourth proportional to 284,081, 392,016.34 and 156,731.72 is: 216,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,081 : 392,016.34 = 156,731.72 : x
  2. Step 2: Convert to fraction form
    284,081/392,016.34 = 156,731.72/x
  3. Step 3: Cross multiply
    284,081x = 392,016.34 × 156,731.72
  4. Step 4: Simplify right side
    284,081x = 61,441,395,236.30
  5. Step 5: Solve for x
    x = 61,441,395,236.30/284,081
  6. Step 6: Final answer
    x = 216,281.26

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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.