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Finding the Fourth Proportional to 399,306.74, 597,140.80 and 298,175.80

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Solution

The fourth proportional to 399,306.74, 597,140.80 and 298,175.80 is: 445,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,306.74 : 597,140.80 = 298,175.80 : x
  2. Step 2: Convert to fraction form
    399,306.74/597,140.80 = 298,175.80/x
  3. Step 3: Cross multiply
    399,306.74x = 597,140.80 × 298,175.80
  4. Step 4: Simplify right side
    399,306.74x = 178,052,935,752.64
  5. Step 5: Solve for x
    x = 178,052,935,752.64/399,306.74
  6. Step 6: Final answer
    x = 445,905.16

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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.