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Finding the Fourth Proportional to 288,046.40, 432,069.60 and 101,057.90

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Solution

The fourth proportional to 288,046.40, 432,069.60 and 101,057.90 is: 151,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,046.40 : 432,069.60 = 101,057.90 : x
  2. Step 2: Convert to fraction form
    288,046.40/432,069.60 = 101,057.90/x
  3. Step 3: Cross multiply
    288,046.40x = 432,069.60 × 101,057.90
  4. Step 4: Simplify right side
    288,046.40x = 43,664,046,429.84
  5. Step 5: Solve for x
    x = 43,664,046,429.84/288,046.40
  6. Step 6: Final answer
    x = 151,586.85

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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.