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Finding the Fourth Proportional to 458,211.90, 686,734.65 and 408,056.70

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Solution

The fourth proportional to 458,211.90, 686,734.65 and 408,056.70 is: 611,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,211.90 : 686,734.65 = 408,056.70 : x
  2. Step 2: Convert to fraction form
    458,211.90/686,734.65 = 408,056.70/x
  3. Step 3: Cross multiply
    458,211.90x = 686,734.65 × 408,056.70
  4. Step 4: Simplify right side
    458,211.90x = 280,226,675,054.66
  5. Step 5: Solve for x
    x = 280,226,675,054.66/458,211.90
  6. Step 6: Final answer
    x = 611,565.69

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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.