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Finding the Fourth Proportional to 474,833.79, 712,287.57 and 137,880

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Solution

The fourth proportional to 474,833.79, 712,287.57 and 137,880 is: 206,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,833.79 : 712,287.57 = 137,880 : x
  2. Step 2: Convert to fraction form
    474,833.79/712,287.57 = 137,880/x
  3. Step 3: Cross multiply
    474,833.79x = 712,287.57 × 137,880
  4. Step 4: Simplify right side
    474,833.79x = 98,210,210,151.60
  5. Step 5: Solve for x
    x = 98,210,210,151.60/474,833.79
  6. Step 6: Final answer
    x = 206,830.71

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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.