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Finding the Fourth Proportional to 477,720.47, 716,557.09 and 178,177.71

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Solution

The fourth proportional to 477,720.47, 716,557.09 and 178,177.71 is: 267,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,720.47 : 716,557.09 = 178,177.71 : x
  2. Step 2: Convert to fraction form
    477,720.47/716,557.09 = 178,177.71/x
  3. Step 3: Cross multiply
    477,720.47x = 716,557.09 × 178,177.71
  4. Step 4: Simplify right side
    477,720.47x = 127,674,501,380.46
  5. Step 5: Solve for x
    x = 127,674,501,380.46/477,720.47
  6. Step 6: Final answer
    x = 267,257.76

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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.