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Finding the Fourth Proportional to 228,210.62, 342,323.72 and 78,449.61

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Solution

The fourth proportional to 228,210.62, 342,323.72 and 78,449.61 is: 117,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,210.62 : 342,323.72 = 78,449.61 : x
  2. Step 2: Convert to fraction form
    228,210.62/342,323.72 = 78,449.61/x
  3. Step 3: Cross multiply
    228,210.62x = 342,323.72 × 78,449.61
  4. Step 4: Simplify right side
    228,210.62x = 26,855,163,513.40
  5. Step 5: Solve for x
    x = 26,855,163,513.40/228,210.62
  6. Step 6: Final answer
    x = 117,677.10

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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.