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Finding the Fourth Proportional to 228,663.40, 342,856.58 and 102,280.09

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Solution

The fourth proportional to 228,663.40, 342,856.58 and 102,280.09 is: 153,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,663.40 : 342,856.58 = 102,280.09 : x
  2. Step 2: Convert to fraction form
    228,663.40/342,856.58 = 102,280.09/x
  3. Step 3: Cross multiply
    228,663.40x = 342,856.58 × 102,280.09
  4. Step 4: Simplify right side
    228,663.40x = 35,067,401,859.49
  5. Step 5: Solve for x
    x = 35,067,401,859.49/228,663.40
  6. Step 6: Final answer
    x = 153,358.18

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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.