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Finding the Fourth Proportional to 283,982.32, 391,898.64 and 156,656.80

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Solution

The fourth proportional to 283,982.32, 391,898.64 and 156,656.80 is: 216,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,982.32 : 391,898.64 = 156,656.80 : x
  2. Step 2: Convert to fraction form
    283,982.32/391,898.64 = 156,656.80/x
  3. Step 3: Cross multiply
    283,982.32x = 391,898.64 × 156,656.80
  4. Step 4: Simplify right side
    283,982.32x = 61,393,586,866.75
  5. Step 5: Solve for x
    x = 61,393,586,866.75/283,982.32
  6. Step 6: Final answer
    x = 216,188.06

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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.