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Finding the Fourth Proportional to 421,744.34, 632,551.54 and 137,434.19

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Solution

The fourth proportional to 421,744.34, 632,551.54 and 137,434.19 is: 206,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,744.34 : 632,551.54 = 137,434.19 : x
  2. Step 2: Convert to fraction form
    421,744.34/632,551.54 = 137,434.19/x
  3. Step 3: Cross multiply
    421,744.34x = 632,551.54 × 137,434.19
  4. Step 4: Simplify right side
    421,744.34x = 86,934,205,026.81
  5. Step 5: Solve for x
    x = 86,934,205,026.81/421,744.34
  6. Step 6: Final answer
    x = 206,130.11

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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.