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Finding the Fourth Proportional to 658,647.74, 988,029.92 and 185,337.20

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Solution

The fourth proportional to 658,647.74, 988,029.92 and 185,337.20 is: 278,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,647.74 : 988,029.92 = 185,337.20 : x
  2. Step 2: Convert to fraction form
    658,647.74/988,029.92 = 185,337.20/x
  3. Step 3: Cross multiply
    658,647.74x = 988,029.92 × 185,337.20
  4. Step 4: Simplify right side
    658,647.74x = 183,118,694,412.22
  5. Step 5: Solve for x
    x = 183,118,694,412.22/658,647.74
  6. Step 6: Final answer
    x = 278,022.20

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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.