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Finding the Fourth Proportional to 258,077.40, 387,116.10 and 220,023.60

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Solution

The fourth proportional to 258,077.40, 387,116.10 and 220,023.60 is: 330,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,077.40 : 387,116.10 = 220,023.60 : x
  2. Step 2: Convert to fraction form
    258,077.40/387,116.10 = 220,023.60/x
  3. Step 3: Cross multiply
    258,077.40x = 387,116.10 × 220,023.60
  4. Step 4: Simplify right side
    258,077.40x = 85,174,677,939.96
  5. Step 5: Solve for x
    x = 85,174,677,939.96/258,077.40
  6. Step 6: Final answer
    x = 330,035.40

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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.