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Finding the Fourth Proportional to 343,947.58, 513,605.30 and 280,892.88

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Solution

The fourth proportional to 343,947.58, 513,605.30 and 280,892.88 is: 419,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,947.58 : 513,605.30 = 280,892.88 : x
  2. Step 2: Convert to fraction form
    343,947.58/513,605.30 = 280,892.88/x
  3. Step 3: Cross multiply
    343,947.58x = 513,605.30 × 280,892.88
  4. Step 4: Simplify right side
    343,947.58x = 144,268,070,495.80
  5. Step 5: Solve for x
    x = 144,268,070,495.80/343,947.58
  6. Step 6: Final answer
    x = 419,447.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.