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Finding the Fourth Proportional to 438,550.90, 658,088.78 and 189,232.90

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Solution

The fourth proportional to 438,550.90, 658,088.78 and 189,232.90 is: 283,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,550.90 : 658,088.78 = 189,232.90 : x
  2. Step 2: Convert to fraction form
    438,550.90/658,088.78 = 189,232.90/x
  3. Step 3: Cross multiply
    438,550.90x = 658,088.78 × 189,232.90
  4. Step 4: Simplify right side
    438,550.90x = 124,532,044,060.25
  5. Step 5: Solve for x
    x = 124,532,044,060.25/438,550.90
  6. Step 6: Final answer
    x = 283,962.58

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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.