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Finding the Fourth Proportional to 288,659.94, 432,879.15 and 99,084.96

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Solution

The fourth proportional to 288,659.94, 432,879.15 and 99,084.96 is: 148,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,659.94 : 432,879.15 = 99,084.96 : x
  2. Step 2: Convert to fraction form
    288,659.94/432,879.15 = 99,084.96/x
  3. Step 3: Cross multiply
    288,659.94x = 432,879.15 × 99,084.96
  4. Step 4: Simplify right side
    288,659.94x = 42,891,813,262.58
  5. Step 5: Solve for x
    x = 42,891,813,262.58/288,659.94
  6. Step 6: Final answer
    x = 148,589.42

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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.