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Finding the Fourth Proportional to 284,225.32, 392,231.01 and 156,901

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Solution

The fourth proportional to 284,225.32, 392,231.01 and 156,901 is: 216,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,225.32 : 392,231.01 = 156,901 : x
  2. Step 2: Convert to fraction form
    284,225.32/392,231.01 = 156,901/x
  3. Step 3: Cross multiply
    284,225.32x = 392,231.01 × 156,901
  4. Step 4: Simplify right side
    284,225.32x = 61,541,437,700.01
  5. Step 5: Solve for x
    x = 61,541,437,700.01/284,225.32
  6. Step 6: Final answer
    x = 216,523.42

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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.