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Finding the Fourth Proportional to 286,266.30, 429,399.45 and 181,203.90

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Solution

The fourth proportional to 286,266.30, 429,399.45 and 181,203.90 is: 271,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,266.30 : 429,399.45 = 181,203.90 : x
  2. Step 2: Convert to fraction form
    286,266.30/429,399.45 = 181,203.90/x
  3. Step 3: Cross multiply
    286,266.30x = 429,399.45 × 181,203.90
  4. Step 4: Simplify right side
    286,266.30x = 77,808,854,997.86
  5. Step 5: Solve for x
    x = 77,808,854,997.86/286,266.30
  6. Step 6: Final answer
    x = 271,805.85

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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.