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Finding the Fourth Proportional to 288,486.43, 432,685.90 and 101,454.19

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Solution

The fourth proportional to 288,486.43, 432,685.90 and 101,454.19 is: 152,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,486.43 : 432,685.90 = 101,454.19 : x
  2. Step 2: Convert to fraction form
    288,486.43/432,685.90 = 101,454.19/x
  3. Step 3: Cross multiply
    288,486.43x = 432,685.90 × 101,454.19
  4. Step 4: Simplify right side
    288,486.43x = 43,897,796,554.02
  5. Step 5: Solve for x
    x = 43,897,796,554.02/288,486.43
  6. Step 6: Final answer
    x = 152,165.90

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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.