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Finding the Fourth Proportional to 477,721.47, 716,558.59 and 178,178.71

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Solution

The fourth proportional to 477,721.47, 716,558.59 and 178,178.71 is: 267,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,721.47 : 716,558.59 = 178,178.71 : x
  2. Step 2: Convert to fraction form
    477,721.47/716,558.59 = 178,178.71/x
  3. Step 3: Cross multiply
    477,721.47x = 716,558.59 × 178,178.71
  4. Step 4: Simplify right side
    477,721.47x = 127,675,485,205.62
  5. Step 5: Solve for x
    x = 127,675,485,205.62/477,721.47
  6. Step 6: Final answer
    x = 267,259.26

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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.