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Finding the Fourth Proportional to 417,685.12, 625,405.15 and 265,055.84

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Solution

The fourth proportional to 417,685.12, 625,405.15 and 265,055.84 is: 396,871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,685.12 : 625,405.15 = 265,055.84 : x
  2. Step 2: Convert to fraction form
    417,685.12/625,405.15 = 265,055.84/x
  3. Step 3: Cross multiply
    417,685.12x = 625,405.15 × 265,055.84
  4. Step 4: Simplify right side
    417,685.12x = 165,767,284,246.55
  5. Step 5: Solve for x
    x = 165,767,284,246.55/417,685.12
  6. Step 6: Final answer
    x = 396,871.42

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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.