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Finding the Fourth Proportional to 289,138.40, 433,691.40 and 89,457.20

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Solution

The fourth proportional to 289,138.40, 433,691.40 and 89,457.20 is: 134,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,138.40 : 433,691.40 = 89,457.20 : x
  2. Step 2: Convert to fraction form
    289,138.40/433,691.40 = 89,457.20/x
  3. Step 3: Cross multiply
    289,138.40x = 433,691.40 × 89,457.20
  4. Step 4: Simplify right side
    289,138.40x = 38,796,818,308.08
  5. Step 5: Solve for x
    x = 38,796,818,308.08/289,138.40
  6. Step 6: Final answer
    x = 134,180.79

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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.