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Finding the Fourth Proportional to 325,830.80, 488,746.20 and 101,189.45

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Solution

The fourth proportional to 325,830.80, 488,746.20 and 101,189.45 is: 151,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,830.80 : 488,746.20 = 101,189.45 : x
  2. Step 2: Convert to fraction form
    325,830.80/488,746.20 = 101,189.45/x
  3. Step 3: Cross multiply
    325,830.80x = 488,746.20 × 101,189.45
  4. Step 4: Simplify right side
    325,830.80x = 49,455,959,167.59
  5. Step 5: Solve for x
    x = 49,455,959,167.59/325,830.80
  6. Step 6: Final answer
    x = 151,784.18

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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.