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Finding the Fourth Proportional to 325,525.80, 488,058.30 and 148,117.80

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Solution

The fourth proportional to 325,525.80, 488,058.30 and 148,117.80 is: 222,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,525.80 : 488,058.30 = 148,117.80 : x
  2. Step 2: Convert to fraction form
    325,525.80/488,058.30 = 148,117.80/x
  3. Step 3: Cross multiply
    325,525.80x = 488,058.30 × 148,117.80
  4. Step 4: Simplify right side
    325,525.80x = 72,290,121,667.74
  5. Step 5: Solve for x
    x = 72,290,121,667.74/325,525.80
  6. Step 6: Final answer
    x = 222,071.87

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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.