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Finding the Fourth Proportional to 474,835.68, 712,324.08 and 137,879.28

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Solution

The fourth proportional to 474,835.68, 712,324.08 and 137,879.28 is: 206,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,835.68 : 712,324.08 = 137,879.28 : x
  2. Step 2: Convert to fraction form
    474,835.68/712,324.08 = 137,879.28/x
  3. Step 3: Cross multiply
    474,835.68x = 712,324.08 × 137,879.28
  4. Step 4: Simplify right side
    474,835.68x = 98,214,731,277.06
  5. Step 5: Solve for x
    x = 98,214,731,277.06/474,835.68
  6. Step 6: Final answer
    x = 206,839.41

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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.