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Finding the Fourth Proportional to 386,223.76, 532,987.56 and 225,174.16

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Solution

The fourth proportional to 386,223.76, 532,987.56 and 225,174.16 is: 310,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,223.76 : 532,987.56 = 225,174.16 : x
  2. Step 2: Convert to fraction form
    386,223.76/532,987.56 = 225,174.16/x
  3. Step 3: Cross multiply
    386,223.76x = 532,987.56 × 225,174.16
  4. Step 4: Simplify right side
    386,223.76x = 120,015,026,113.45
  5. Step 5: Solve for x
    x = 120,015,026,113.45/386,223.76
  6. Step 6: Final answer
    x = 310,739.62

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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.