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Finding the Fourth Proportional to 298,098.70, 446,713.25 and 138,223.53

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Solution

The fourth proportional to 298,098.70, 446,713.25 and 138,223.53 is: 207,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,098.70 : 446,713.25 = 138,223.53 : x
  2. Step 2: Convert to fraction form
    298,098.70/446,713.25 = 138,223.53/x
  3. Step 3: Cross multiply
    298,098.70x = 446,713.25 × 138,223.53
  4. Step 4: Simplify right side
    298,098.70x = 61,746,281,621.65
  5. Step 5: Solve for x
    x = 61,746,281,621.65/298,098.70
  6. Step 6: Final answer
    x = 207,133.68

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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.