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Finding the Fourth Proportional to 414,649.71, 572,393.16 and 278,762.47

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Solution

The fourth proportional to 414,649.71, 572,393.16 and 278,762.47 is: 384,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,649.71 : 572,393.16 = 278,762.47 : x
  2. Step 2: Convert to fraction form
    414,649.71/572,393.16 = 278,762.47/x
  3. Step 3: Cross multiply
    414,649.71x = 572,393.16 × 278,762.47
  4. Step 4: Simplify right side
    414,649.71x = 159,561,731,092.71
  5. Step 5: Solve for x
    x = 159,561,731,092.71/414,649.71
  6. Step 6: Final answer
    x = 384,810.91

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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.