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Finding the Fourth Proportional to 408,251.48, 611,642.40 and 384,235.76

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Solution

The fourth proportional to 408,251.48, 611,642.40 and 384,235.76 is: 575,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,251.48 : 611,642.40 = 384,235.76 : x
  2. Step 2: Convert to fraction form
    408,251.48/611,642.40 = 384,235.76/x
  3. Step 3: Cross multiply
    408,251.48x = 611,642.40 × 384,235.76
  4. Step 4: Simplify right side
    408,251.48x = 235,014,882,412.22
  5. Step 5: Solve for x
    x = 235,014,882,412.22/408,251.48
  6. Step 6: Final answer
    x = 575,662.05

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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.