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Finding the Fourth Proportional to 510,876.75, 705,031.80 and 284,522.25

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Solution

The fourth proportional to 510,876.75, 705,031.80 and 284,522.25 is: 392,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,876.75 : 705,031.80 = 284,522.25 : x
  2. Step 2: Convert to fraction form
    510,876.75/705,031.80 = 284,522.25/x
  3. Step 3: Cross multiply
    510,876.75x = 705,031.80 × 284,522.25
  4. Step 4: Simplify right side
    510,876.75x = 200,597,234,057.55
  5. Step 5: Solve for x
    x = 200,597,234,057.55/510,876.75
  6. Step 6: Final answer
    x = 392,652.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.