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Finding the Fourth Proportional to 477,642.25, 716,440 and 178,099.47

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Solution

The fourth proportional to 477,642.25, 716,440 and 178,099.47 is: 267,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,642.25 : 716,440 = 178,099.47 : x
  2. Step 2: Convert to fraction form
    477,642.25/716,440 = 178,099.47/x
  3. Step 3: Cross multiply
    477,642.25x = 716,440 × 178,099.47
  4. Step 4: Simplify right side
    477,642.25x = 127,597,584,286.80
  5. Step 5: Solve for x
    x = 127,597,584,286.80/477,642.25
  6. Step 6: Final answer
    x = 267,140.49

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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.