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Finding the Fourth Proportional to 477,882.96, 716,985.72 and 211,606.80

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Solution

The fourth proportional to 477,882.96, 716,985.72 and 211,606.80 is: 317,481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,882.96 : 716,985.72 = 211,606.80 : x
  2. Step 2: Convert to fraction form
    477,882.96/716,985.72 = 211,606.80/x
  3. Step 3: Cross multiply
    477,882.96x = 716,985.72 × 211,606.80
  4. Step 4: Simplify right side
    477,882.96x = 151,719,053,854.90
  5. Step 5: Solve for x
    x = 151,719,053,854.90/477,882.96
  6. Step 6: Final answer
    x = 317,481.61

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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.