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Finding the Fourth Proportional to 321,513.92, 443,648.42 and 176,281.48

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Solution

The fourth proportional to 321,513.92, 443,648.42 and 176,281.48 is: 243,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,513.92 : 443,648.42 = 176,281.48 : x
  2. Step 2: Convert to fraction form
    321,513.92/443,648.42 = 176,281.48/x
  3. Step 3: Cross multiply
    321,513.92x = 443,648.42 × 176,281.48
  4. Step 4: Simplify right side
    321,513.92x = 78,207,000,411.47
  5. Step 5: Solve for x
    x = 78,207,000,411.47/321,513.92
  6. Step 6: Final answer
    x = 243,246.08

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1.5x scale

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.