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Finding the Fourth Proportional to 286,234.30, 429,005.85 and 145,920.70

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Solution

The fourth proportional to 286,234.30, 429,005.85 and 145,920.70 is: 218,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,234.30 : 429,005.85 = 145,920.70 : x
  2. Step 2: Convert to fraction form
    286,234.30/429,005.85 = 145,920.70/x
  3. Step 3: Cross multiply
    286,234.30x = 429,005.85 × 145,920.70
  4. Step 4: Simplify right side
    286,234.30x = 62,600,833,936.10
  5. Step 5: Solve for x
    x = 62,600,833,936.10/286,234.30
  6. Step 6: Final answer
    x = 218,704.86

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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.