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Finding the Fourth Proportional to 286,520.78, 429,780.70 and 76,158.72

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Solution

The fourth proportional to 286,520.78, 429,780.70 and 76,158.72 is: 114,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,520.78 : 429,780.70 = 76,158.72 : x
  2. Step 2: Convert to fraction form
    286,520.78/429,780.70 = 76,158.72/x
  3. Step 3: Cross multiply
    286,520.78x = 429,780.70 × 76,158.72
  4. Step 4: Simplify right side
    286,520.78x = 32,731,547,992.70
  5. Step 5: Solve for x
    x = 32,731,547,992.70/286,520.78
  6. Step 6: Final answer
    x = 114,237.96

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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.