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Finding the Fourth Proportional to 431,811.36, 648,278.33 and 332,041.62

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Solution

The fourth proportional to 431,811.36, 648,278.33 and 332,041.62 is: 498,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,811.36 : 648,278.33 = 332,041.62 : x
  2. Step 2: Convert to fraction form
    431,811.36/648,278.33 = 332,041.62/x
  3. Step 3: Cross multiply
    431,811.36x = 648,278.33 × 332,041.62
  4. Step 4: Simplify right side
    431,811.36x = 215,255,386,904.10
  5. Step 5: Solve for x
    x = 215,255,386,904.10/431,811.36
  6. Step 6: Final answer
    x = 498,494.03

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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.