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Finding the Fourth Proportional to 289,043.68, 433,380.52 and 138,985.12

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Solution

The fourth proportional to 289,043.68, 433,380.52 and 138,985.12 is: 208,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,043.68 : 433,380.52 = 138,985.12 : x
  2. Step 2: Convert to fraction form
    289,043.68/433,380.52 = 138,985.12/x
  3. Step 3: Cross multiply
    289,043.68x = 433,380.52 × 138,985.12
  4. Step 4: Simplify right side
    289,043.68x = 60,233,443,577.86
  5. Step 5: Solve for x
    x = 60,233,443,577.86/289,043.68
  6. Step 6: Final answer
    x = 208,388.72

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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.