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Finding the Fourth Proportional to 510,591.04, 704,615.38 and 284,290

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Solution

The fourth proportional to 510,591.04, 704,615.38 and 284,290 is: 392,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,591.04 : 704,615.38 = 284,290 : x
  2. Step 2: Convert to fraction form
    510,591.04/704,615.38 = 284,290/x
  3. Step 3: Cross multiply
    510,591.04x = 704,615.38 × 284,290
  4. Step 4: Simplify right side
    510,591.04x = 200,315,106,380.20
  5. Step 5: Solve for x
    x = 200,315,106,380.20/510,591.04
  6. Step 6: Final answer
    x = 392,320.06

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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.