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Finding the Fourth Proportional to 284,062.72, 392,005.74 and 156,737.20

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Solution

The fourth proportional to 284,062.72, 392,005.74 and 156,737.20 is: 216,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,062.72 : 392,005.74 = 156,737.20 : x
  2. Step 2: Convert to fraction form
    284,062.72/392,005.74 = 156,737.20/x
  3. Step 3: Cross multiply
    284,062.72x = 392,005.74 × 156,737.20
  4. Step 4: Simplify right side
    284,062.72x = 61,441,882,071.53
  5. Step 5: Solve for x
    x = 61,441,882,071.53/284,062.72
  6. Step 6: Final answer
    x = 216,296.89

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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.