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Finding the Fourth Proportional to 421,694.88, 632,541.52 and 137,385.08

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Solution

The fourth proportional to 421,694.88, 632,541.52 and 137,385.08 is: 206,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,694.88 : 632,541.52 = 137,385.08 : x
  2. Step 2: Convert to fraction form
    421,694.88/632,541.52 = 137,385.08/x
  3. Step 3: Cross multiply
    421,694.88x = 632,541.52 × 137,385.08
  4. Step 4: Simplify right side
    421,694.88x = 86,901,767,328.52
  5. Step 5: Solve for x
    x = 86,901,767,328.52/421,694.88
  6. Step 6: Final answer
    x = 206,077.36

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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.