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Finding the Fourth Proportional to 414,649.85, 572,393.32 and 278,762.60

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Solution

The fourth proportional to 414,649.85, 572,393.32 and 278,762.60 is: 384,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,649.85 : 572,393.32 = 278,762.60 : x
  2. Step 2: Convert to fraction form
    414,649.85/572,393.32 = 278,762.60/x
  3. Step 3: Cross multiply
    414,649.85x = 572,393.32 × 278,762.60
  4. Step 4: Simplify right side
    414,649.85x = 159,561,850,839.91
  5. Step 5: Solve for x
    x = 159,561,850,839.91/414,649.85
  6. Step 6: Final answer
    x = 384,811.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.