Home / 510,895.20-705,057.12-284,540.70

Finding the Fourth Proportional to 510,895.20, 705,057.12 and 284,540.70

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Solution

The fourth proportional to 510,895.20, 705,057.12 and 284,540.70 is: 392,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,895.20 : 705,057.12 = 284,540.70 : x
  2. Step 2: Convert to fraction form
    510,895.20/705,057.12 = 284,540.70/x
  3. Step 3: Cross multiply
    510,895.20x = 705,057.12 × 284,540.70
  4. Step 4: Simplify right side
    510,895.20x = 200,617,446,464.78
  5. Step 5: Solve for x
    x = 200,617,446,464.78/510,895.20
  6. Step 6: Final answer
    x = 392,678.28

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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.