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Finding the Fourth Proportional to 283,458, 391,172.04 and 156,133.20

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Solution

The fourth proportional to 283,458, 391,172.04 and 156,133.20 is: 215,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,458 : 391,172.04 = 156,133.20 : x
  2. Step 2: Convert to fraction form
    283,458/391,172.04 = 156,133.20/x
  3. Step 3: Cross multiply
    283,458x = 391,172.04 × 156,133.20
  4. Step 4: Simplify right side
    283,458x = 61,074,942,355.73
  5. Step 5: Solve for x
    x = 61,074,942,355.73/283,458
  6. Step 6: Final answer
    x = 215,463.82

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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.