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Finding the Fourth Proportional to 315,961.35, 473,522.84 and 138,274.89

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Solution

The fourth proportional to 315,961.35, 473,522.84 and 138,274.89 is: 207,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,961.35 : 473,522.84 = 138,274.89 : x
  2. Step 2: Convert to fraction form
    315,961.35/473,522.84 = 138,274.89/x
  3. Step 3: Cross multiply
    315,961.35x = 473,522.84 × 138,274.89
  4. Step 4: Simplify right side
    315,961.35x = 65,476,318,613.49
  5. Step 5: Solve for x
    x = 65,476,318,613.49/315,961.35
  6. Step 6: Final answer
    x = 207,228.89

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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.