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Finding the Fourth Proportional to 283,740.56, 391,564.59 and 156,420.71

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Solution

The fourth proportional to 283,740.56, 391,564.59 and 156,420.71 is: 215,862.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,740.56 : 391,564.59 = 156,420.71 : x
  2. Step 2: Convert to fraction form
    283,740.56/391,564.59 = 156,420.71/x
  3. Step 3: Cross multiply
    283,740.56x = 391,564.59 × 156,420.71
  4. Step 4: Simplify right side
    283,740.56x = 61,248,811,178.66
  5. Step 5: Solve for x
    x = 61,248,811,178.66/283,740.56
  6. Step 6: Final answer
    x = 215,862.02

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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.