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Finding the Fourth Proportional to 258,460.32, 387,531.76 and 100,504.64

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Solution

The fourth proportional to 258,460.32, 387,531.76 and 100,504.64 is: 150,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,460.32 : 387,531.76 = 100,504.64 : x
  2. Step 2: Convert to fraction form
    258,460.32/387,531.76 = 100,504.64/x
  3. Step 3: Cross multiply
    258,460.32x = 387,531.76 × 100,504.64
  4. Step 4: Simplify right side
    258,460.32x = 38,948,740,027.37
  5. Step 5: Solve for x
    x = 38,948,740,027.37/258,460.32
  6. Step 6: Final answer
    x = 150,695.24

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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.