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Finding the Fourth Proportional to 288,610.12, 432,915.18 and 174,780.87

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Solution

The fourth proportional to 288,610.12, 432,915.18 and 174,780.87 is: 262,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,610.12 : 432,915.18 = 174,780.87 : x
  2. Step 2: Convert to fraction form
    288,610.12/432,915.18 = 174,780.87/x
  3. Step 3: Cross multiply
    288,610.12x = 432,915.18 × 174,780.87
  4. Step 4: Simplify right side
    288,610.12x = 75,665,291,796.61
  5. Step 5: Solve for x
    x = 75,665,291,796.61/288,610.12
  6. Step 6: Final answer
    x = 262,171.31

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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.