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Finding the Fourth Proportional to 421,617.70, 632,207.85 and 155,241.10

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Solution

The fourth proportional to 421,617.70, 632,207.85 and 155,241.10 is: 232,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,617.70 : 632,207.85 = 155,241.10 : x
  2. Step 2: Convert to fraction form
    421,617.70/632,207.85 = 155,241.10/x
  3. Step 3: Cross multiply
    421,617.70x = 632,207.85 × 155,241.10
  4. Step 4: Simplify right side
    421,617.70x = 98,144,642,062.64
  5. Step 5: Solve for x
    x = 98,144,642,062.64/421,617.70
  6. Step 6: Final answer
    x = 232,781.12

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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.