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Finding the Fourth Proportional to 421,746.83, 632,555.29 and 137,436.69

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Solution

The fourth proportional to 421,746.83, 632,555.29 and 137,436.69 is: 206,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,746.83 : 632,555.29 = 137,436.69 : x
  2. Step 2: Convert to fraction form
    421,746.83/632,555.29 = 137,436.69/x
  3. Step 3: Cross multiply
    421,746.83x = 632,555.29 × 137,436.69
  4. Step 4: Simplify right side
    421,746.83x = 86,936,305,299.59
  5. Step 5: Solve for x
    x = 86,936,305,299.59/421,746.83
  6. Step 6: Final answer
    x = 206,133.87

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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.