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Finding the Fourth Proportional to 510,969.28, 705,159.36 and 284,614.88

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Solution

The fourth proportional to 510,969.28, 705,159.36 and 284,614.88 is: 392,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,969.28 : 705,159.36 = 284,614.88 : x
  2. Step 2: Convert to fraction form
    510,969.28/705,159.36 = 284,614.88/x
  3. Step 3: Cross multiply
    510,969.28x = 705,159.36 × 284,614.88
  4. Step 4: Simplify right side
    510,969.28x = 200,698,846,627.28
  5. Step 5: Solve for x
    x = 200,698,846,627.28/510,969.28
  6. Step 6: Final answer
    x = 392,780.65

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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.