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Finding the Fourth Proportional to 421,616.04, 632,332.46 and 133,450.08

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Solution

The fourth proportional to 421,616.04, 632,332.46 and 133,450.08 is: 200,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,616.04 : 632,332.46 = 133,450.08 : x
  2. Step 2: Convert to fraction form
    421,616.04/632,332.46 = 133,450.08/x
  3. Step 3: Cross multiply
    421,616.04x = 632,332.46 × 133,450.08
  4. Step 4: Simplify right side
    421,616.04x = 84,384,818,142.19
  5. Step 5: Solve for x
    x = 84,384,818,142.19/421,616.04
  6. Step 6: Final answer
    x = 200,146.13

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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.