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Finding the Fourth Proportional to 458,518.40, 686,780.40 and 280,486.88

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Solution

The fourth proportional to 458,518.40, 686,780.40 and 280,486.88 is: 420,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,518.40 : 686,780.40 = 280,486.88 : x
  2. Step 2: Convert to fraction form
    458,518.40/686,780.40 = 280,486.88/x
  3. Step 3: Cross multiply
    458,518.40x = 686,780.40 × 280,486.88
  4. Step 4: Simplify right side
    458,518.40x = 192,632,891,641.15
  5. Step 5: Solve for x
    x = 192,632,891,641.15/458,518.40
  6. Step 6: Final answer
    x = 420,120.31

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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.