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Finding the Fourth Proportional to 283,632.87, 391,411.40 and 156,308.61

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Solution

The fourth proportional to 283,632.87, 391,411.40 and 156,308.61 is: 215,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,632.87 : 391,411.40 = 156,308.61 : x
  2. Step 2: Convert to fraction form
    283,632.87/391,411.40 = 156,308.61/x
  3. Step 3: Cross multiply
    283,632.87x = 391,411.40 × 156,308.61
  4. Step 4: Simplify right side
    283,632.87x = 61,180,971,090.61
  5. Step 5: Solve for x
    x = 61,180,971,090.61/283,632.87
  6. Step 6: Final answer
    x = 215,704.80

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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.