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Finding the Fourth Proportional to 310,466.17, 465,309.67 and 132,764.21

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Solution

The fourth proportional to 310,466.17, 465,309.67 and 132,764.21 is: 198,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,466.17 : 465,309.67 = 132,764.21 : x
  2. Step 2: Convert to fraction form
    310,466.17/465,309.67 = 132,764.21/x
  3. Step 3: Cross multiply
    310,466.17x = 465,309.67 × 132,764.21
  4. Step 4: Simplify right side
    310,466.17x = 61,776,470,742.91
  5. Step 5: Solve for x
    x = 61,776,470,742.91/310,466.17
  6. Step 6: Final answer
    x = 198,979.72

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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.