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Finding the Fourth Proportional to 242,281.80, 363,438.90 and 82,355.40

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Solution

The fourth proportional to 242,281.80, 363,438.90 and 82,355.40 is: 123,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,281.80 : 363,438.90 = 82,355.40 : x
  2. Step 2: Convert to fraction form
    242,281.80/363,438.90 = 82,355.40/x
  3. Step 3: Cross multiply
    242,281.80x = 363,438.90 × 82,355.40
  4. Step 4: Simplify right side
    242,281.80x = 29,931,155,985.06
  5. Step 5: Solve for x
    x = 29,931,155,985.06/242,281.80
  6. Step 6: Final answer
    x = 123,538.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.