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Finding the Fourth Proportional to 312,521.44, 468,744.96 and 81,695.20

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Solution

The fourth proportional to 312,521.44, 468,744.96 and 81,695.20 is: 122,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,521.44 : 468,744.96 = 81,695.20 : x
  2. Step 2: Convert to fraction form
    312,521.44/468,744.96 = 81,695.20/x
  3. Step 3: Cross multiply
    312,521.44x = 468,744.96 × 81,695.20
  4. Step 4: Simplify right side
    312,521.44x = 38,294,213,256.19
  5. Step 5: Solve for x
    x = 38,294,213,256.19/312,521.44
  6. Step 6: Final answer
    x = 122,533.08

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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.