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Finding the Fourth Proportional to 421,778.04, 632,674.36 and 155,401.44

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Solution

The fourth proportional to 421,778.04, 632,674.36 and 155,401.44 is: 233,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,778.04 : 632,674.36 = 155,401.44 : x
  2. Step 2: Convert to fraction form
    421,778.04/632,674.36 = 155,401.44/x
  3. Step 3: Cross multiply
    421,778.04x = 632,674.36 × 155,401.44
  4. Step 4: Simplify right side
    421,778.04x = 98,318,506,595.08
  5. Step 5: Solve for x
    x = 98,318,506,595.08/421,778.04
  6. Step 6: Final answer
    x = 233,104.85

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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.