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Finding the Fourth Proportional to 407,543.20, 611,314.80 and 265,825.60

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Solution

The fourth proportional to 407,543.20, 611,314.80 and 265,825.60 is: 398,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,543.20 : 611,314.80 = 265,825.60 : x
  2. Step 2: Convert to fraction form
    407,543.20/611,314.80 = 265,825.60/x
  3. Step 3: Cross multiply
    407,543.20x = 611,314.80 × 265,825.60
  4. Step 4: Simplify right side
    407,543.20x = 162,503,123,498.88
  5. Step 5: Solve for x
    x = 162,503,123,498.88/407,543.20
  6. Step 6: Final answer
    x = 398,738.40

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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.