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Finding the Fourth Proportional to 283,420.62, 391,119.44 and 156,095.91

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Solution

The fourth proportional to 283,420.62, 391,119.44 and 156,095.91 is: 215,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,420.62 : 391,119.44 = 156,095.91 : x
  2. Step 2: Convert to fraction form
    283,420.62/391,119.44 = 156,095.91/x
  3. Step 3: Cross multiply
    283,420.62x = 391,119.44 × 156,095.91
  4. Step 4: Simplify right side
    283,420.62x = 61,052,144,125.01
  5. Step 5: Solve for x
    x = 61,052,144,125.01/283,420.62
  6. Step 6: Final answer
    x = 215,411.79

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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.