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Finding the Fourth Proportional to 283,376, 391,052.94 and 156,052.64

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Solution

The fourth proportional to 283,376, 391,052.94 and 156,052.64 is: 215,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,376 : 391,052.94 = 156,052.64 : x
  2. Step 2: Convert to fraction form
    283,376/391,052.94 = 156,052.64/x
  3. Step 3: Cross multiply
    283,376x = 391,052.94 × 156,052.64
  4. Step 4: Simplify right side
    283,376x = 61,024,843,666.76
  5. Step 5: Solve for x
    x = 61,024,843,666.76/283,376
  6. Step 6: Final answer
    x = 215,349.37

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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.