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Finding the Fourth Proportional to 288,260.72, 432,101.65 and 98,591.44

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Solution

The fourth proportional to 288,260.72, 432,101.65 and 98,591.44 is: 147,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,260.72 : 432,101.65 = 98,591.44 : x
  2. Step 2: Convert to fraction form
    288,260.72/432,101.65 = 98,591.44/x
  3. Step 3: Cross multiply
    288,260.72x = 432,101.65 × 98,591.44
  4. Step 4: Simplify right side
    288,260.72x = 42,601,524,314.48
  5. Step 5: Solve for x
    x = 42,601,524,314.48/288,260.72
  6. Step 6: Final answer
    x = 147,788.17

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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.