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Finding the Fourth Proportional to 288,285.53, 432,469.63 and 88,622.66

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Solution

The fourth proportional to 288,285.53, 432,469.63 and 88,622.66 is: 132,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,285.53 : 432,469.63 = 88,622.66 : x
  2. Step 2: Convert to fraction form
    288,285.53/432,469.63 = 88,622.66/x
  3. Step 3: Cross multiply
    288,285.53x = 432,469.63 × 88,622.66
  4. Step 4: Simplify right side
    288,285.53x = 38,326,607,739.13
  5. Step 5: Solve for x
    x = 38,326,607,739.13/288,285.53
  6. Step 6: Final answer
    x = 132,946.69

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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.