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Finding the Fourth Proportional to 289,041.68, 433,377.52 and 138,983.12

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Solution

The fourth proportional to 289,041.68, 433,377.52 and 138,983.12 is: 208,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,041.68 : 433,377.52 = 138,983.12 : x
  2. Step 2: Convert to fraction form
    289,041.68/433,377.52 = 138,983.12/x
  3. Step 3: Cross multiply
    289,041.68x = 433,377.52 × 138,983.12
  4. Step 4: Simplify right side
    289,041.68x = 60,232,159,867.46
  5. Step 5: Solve for x
    x = 60,232,159,867.46/289,041.68
  6. Step 6: Final answer
    x = 208,385.72

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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.