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Finding the Fourth Proportional to 321,686.98, 482,532.30 and 85,027.16

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Solution

The fourth proportional to 321,686.98, 482,532.30 and 85,027.16 is: 127,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,686.98 : 482,532.30 = 85,027.16 : x
  2. Step 2: Convert to fraction form
    321,686.98/482,532.30 = 85,027.16/x
  3. Step 3: Cross multiply
    321,686.98x = 482,532.30 × 85,027.16
  4. Step 4: Simplify right side
    321,686.98x = 41,028,351,077.27
  5. Step 5: Solve for x
    x = 41,028,351,077.27/321,686.98
  6. Step 6: Final answer
    x = 127,541.22

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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.