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Finding the Fourth Proportional to 320,423.70, 480,117.15 and 201,882.90

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Solution

The fourth proportional to 320,423.70, 480,117.15 and 201,882.90 is: 302,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,423.70 : 480,117.15 = 201,882.90 : x
  2. Step 2: Convert to fraction form
    320,423.70/480,117.15 = 201,882.90/x
  3. Step 3: Cross multiply
    320,423.70x = 480,117.15 × 201,882.90
  4. Step 4: Simplify right side
    320,423.70x = 96,927,442,581.74
  5. Step 5: Solve for x
    x = 96,927,442,581.74/320,423.70
  6. Step 6: Final answer
    x = 302,497.73

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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.