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Finding the Fourth Proportional to 342,381.84, 513,294.52 and 142,850.88

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Solution

The fourth proportional to 342,381.84, 513,294.52 and 142,850.88 is: 214,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,381.84 : 513,294.52 = 142,850.88 : x
  2. Step 2: Convert to fraction form
    342,381.84/513,294.52 = 142,850.88/x
  3. Step 3: Cross multiply
    342,381.84x = 513,294.52 × 142,850.88
  4. Step 4: Simplify right side
    342,381.84x = 73,324,573,881.18
  5. Step 5: Solve for x
    x = 73,324,573,881.18/342,381.84
  6. Step 6: Final answer
    x = 214,160.23

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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.