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Finding the Fourth Proportional to 298,494.33, 411,920.15 and 162,528.21

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Solution

The fourth proportional to 298,494.33, 411,920.15 and 162,528.21 is: 224,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,494.33 : 411,920.15 = 162,528.21 : x
  2. Step 2: Convert to fraction form
    298,494.33/411,920.15 = 162,528.21/x
  3. Step 3: Cross multiply
    298,494.33x = 411,920.15 × 162,528.21
  4. Step 4: Simplify right side
    298,494.33x = 66,948,643,829.79
  5. Step 5: Solve for x
    x = 66,948,643,829.79/298,494.33
  6. Step 6: Final answer
    x = 224,287.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.