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Finding the Fourth Proportional to 510,877.91, 705,011.52 and 284,523.41

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Solution

The fourth proportional to 510,877.91, 705,011.52 and 284,523.41 is: 392,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,877.91 : 705,011.52 = 284,523.41 : x
  2. Step 2: Convert to fraction form
    510,877.91/705,011.52 = 284,523.41/x
  3. Step 3: Cross multiply
    510,877.91x = 705,011.52 × 284,523.41
  4. Step 4: Simplify right side
    510,877.91x = 200,592,281,759.68
  5. Step 5: Solve for x
    x = 200,592,281,759.68/510,877.91
  6. Step 6: Final answer
    x = 392,642.31

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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.