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Finding the Fourth Proportional to 421,780.04, 632,677.36 and 155,403.44

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Solution

The fourth proportional to 421,780.04, 632,677.36 and 155,403.44 is: 233,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,780.04 : 632,677.36 = 155,403.44 : x
  2. Step 2: Convert to fraction form
    421,780.04/632,677.36 = 155,403.44/x
  3. Step 3: Cross multiply
    421,780.04x = 632,677.36 × 155,403.44
  4. Step 4: Simplify right side
    421,780.04x = 98,320,238,154.12
  5. Step 5: Solve for x
    x = 98,320,238,154.12/421,780.04
  6. Step 6: Final answer
    x = 233,107.85

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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.