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Finding the Fourth Proportional to 457,456.71, 631,216.77 and 287,570.55

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Solution

The fourth proportional to 457,456.71, 631,216.77 and 287,570.55 is: 396,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,456.71 : 631,216.77 = 287,570.55 : x
  2. Step 2: Convert to fraction form
    457,456.71/631,216.77 = 287,570.55/x
  3. Step 3: Cross multiply
    457,456.71x = 631,216.77 × 287,570.55
  4. Step 4: Simplify right side
    457,456.71x = 181,519,353,718.12
  5. Step 5: Solve for x
    x = 181,519,353,718.12/457,456.71
  6. Step 6: Final answer
    x = 396,801.16

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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.