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Finding the Fourth Proportional to 284,311.64, 392,344.92 and 156,984.50

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Solution

The fourth proportional to 284,311.64, 392,344.92 and 156,984.50 is: 216,635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,311.64 : 392,344.92 = 156,984.50 : x
  2. Step 2: Convert to fraction form
    284,311.64/392,344.92 = 156,984.50/x
  3. Step 3: Cross multiply
    284,311.64x = 392,344.92 × 156,984.50
  4. Step 4: Simplify right side
    284,311.64x = 61,592,071,093.74
  5. Step 5: Solve for x
    x = 61,592,071,093.74/284,311.64
  6. Step 6: Final answer
    x = 216,635.77

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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.