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Finding the Fourth Proportional to 310,643.40, 465,965.10 and 257,499.30

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Solution

The fourth proportional to 310,643.40, 465,965.10 and 257,499.30 is: 386,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,643.40 : 465,965.10 = 257,499.30 : x
  2. Step 2: Convert to fraction form
    310,643.40/465,965.10 = 257,499.30/x
  3. Step 3: Cross multiply
    310,643.40x = 465,965.10 × 257,499.30
  4. Step 4: Simplify right side
    310,643.40x = 119,985,687,074.43
  5. Step 5: Solve for x
    x = 119,985,687,074.43/310,643.40
  6. Step 6: Final answer
    x = 386,248.95

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.