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Finding the Fourth Proportional to 421,678.13, 632,516.67 and 137,368.21

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Solution

The fourth proportional to 421,678.13, 632,516.67 and 137,368.21 is: 206,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,678.13 : 632,516.67 = 137,368.21 : x
  2. Step 2: Convert to fraction form
    421,678.13/632,516.67 = 137,368.21/x
  3. Step 3: Cross multiply
    421,678.13x = 632,516.67 × 137,368.21
  4. Step 4: Simplify right side
    421,678.13x = 86,887,684,523.04
  5. Step 5: Solve for x
    x = 86,887,684,523.04/421,678.13
  6. Step 6: Final answer
    x = 206,052.15

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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.