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Finding the Fourth Proportional to 280,314.60, 420,471.90 and 258,663.30

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Solution

The fourth proportional to 280,314.60, 420,471.90 and 258,663.30 is: 387,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,314.60 : 420,471.90 = 258,663.30 : x
  2. Step 2: Convert to fraction form
    280,314.60/420,471.90 = 258,663.30/x
  3. Step 3: Cross multiply
    280,314.60x = 420,471.90 × 258,663.30
  4. Step 4: Simplify right side
    280,314.60x = 108,760,649,211.27
  5. Step 5: Solve for x
    x = 108,760,649,211.27/280,314.60
  6. Step 6: Final answer
    x = 387,994.95

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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.