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Finding the Fourth Proportional to 228,288.90, 342,480.06 and 78,509.70

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Solution

The fourth proportional to 228,288.90, 342,480.06 and 78,509.70 is: 117,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,288.90 : 342,480.06 = 78,509.70 : x
  2. Step 2: Convert to fraction form
    228,288.90/342,480.06 = 78,509.70/x
  3. Step 3: Cross multiply
    228,288.90x = 342,480.06 × 78,509.70
  4. Step 4: Simplify right side
    228,288.90x = 26,888,006,766.58
  5. Step 5: Solve for x
    x = 26,888,006,766.58/228,288.90
  6. Step 6: Final answer
    x = 117,780.61

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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.