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Finding the Fourth Proportional to 421,566.80, 632,599.27 and 155,514.13

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Solution

The fourth proportional to 421,566.80, 632,599.27 and 155,514.13 is: 233,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,566.80 : 632,599.27 = 155,514.13 : x
  2. Step 2: Convert to fraction form
    421,566.80/632,599.27 = 155,514.13/x
  3. Step 3: Cross multiply
    421,566.80x = 632,599.27 × 155,514.13
  4. Step 4: Simplify right side
    421,566.80x = 98,378,123,142.40
  5. Step 5: Solve for x
    x = 98,378,123,142.40/421,566.80
  6. Step 6: Final answer
    x = 233,363.07

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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.