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Finding the Fourth Proportional to 286,375.92, 429,530.52 and 76,030.20

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Solution

The fourth proportional to 286,375.92, 429,530.52 and 76,030.20 is: 114,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,375.92 : 429,530.52 = 76,030.20 : x
  2. Step 2: Convert to fraction form
    286,375.92/429,530.52 = 76,030.20/x
  3. Step 3: Cross multiply
    286,375.92x = 429,530.52 × 76,030.20
  4. Step 4: Simplify right side
    286,375.92x = 32,657,291,341.70
  5. Step 5: Solve for x
    x = 32,657,291,341.70/286,375.92
  6. Step 6: Final answer
    x = 114,036.44

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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.