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Finding the Fourth Proportional to 228,077.60, 342,116.40 and 192,648.20

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Solution

The fourth proportional to 228,077.60, 342,116.40 and 192,648.20 is: 288,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,077.60 : 342,116.40 = 192,648.20 : x
  2. Step 2: Convert to fraction form
    228,077.60/342,116.40 = 192,648.20/x
  3. Step 3: Cross multiply
    228,077.60x = 342,116.40 × 192,648.20
  4. Step 4: Simplify right side
    228,077.60x = 65,908,108,650.48
  5. Step 5: Solve for x
    x = 65,908,108,650.48/228,077.60
  6. Step 6: Final answer
    x = 288,972.30

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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.