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Finding the Fourth Proportional to 457,347.66, 631,359.15 and 321,498.06

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Solution

The fourth proportional to 457,347.66, 631,359.15 and 321,498.06 is: 443,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,347.66 : 631,359.15 = 321,498.06 : x
  2. Step 2: Convert to fraction form
    457,347.66/631,359.15 = 321,498.06/x
  3. Step 3: Cross multiply
    457,347.66x = 631,359.15 × 321,498.06
  4. Step 4: Simplify right side
    457,347.66x = 202,980,741,888.25
  5. Step 5: Solve for x
    x = 202,980,741,888.25/457,347.66
  6. Step 6: Final answer
    x = 443,821.54

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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.