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Finding the Fourth Proportional to 283,451.90, 391,163.58 and 156,127.50

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Solution

The fourth proportional to 283,451.90, 391,163.58 and 156,127.50 is: 215,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,451.90 : 391,163.58 = 156,127.50 : x
  2. Step 2: Convert to fraction form
    283,451.90/391,163.58 = 156,127.50/x
  3. Step 3: Cross multiply
    283,451.90x = 391,163.58 × 156,127.50
  4. Step 4: Simplify right side
    283,451.90x = 61,071,391,836.45
  5. Step 5: Solve for x
    x = 61,071,391,836.45/283,451.90
  6. Step 6: Final answer
    x = 215,455.93

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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.