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Finding the Fourth Proportional to 286,612.14, 429,917.64 and 76,250.04

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Solution

The fourth proportional to 286,612.14, 429,917.64 and 76,250.04 is: 114,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,612.14 : 429,917.64 = 76,250.04 : x
  2. Step 2: Convert to fraction form
    286,612.14/429,917.64 = 76,250.04/x
  3. Step 3: Cross multiply
    286,612.14x = 429,917.64 × 76,250.04
  4. Step 4: Simplify right side
    286,612.14x = 32,781,237,246.71
  5. Step 5: Solve for x
    x = 32,781,237,246.71/286,612.14
  6. Step 6: Final answer
    x = 114,374.91

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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.