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Finding the Fourth Proportional to 228,363.40, 342,545.10 and 161,878.60

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Solution

The fourth proportional to 228,363.40, 342,545.10 and 161,878.60 is: 242,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,363.40 : 342,545.10 = 161,878.60 : x
  2. Step 2: Convert to fraction form
    228,363.40/342,545.10 = 161,878.60/x
  3. Step 3: Cross multiply
    228,363.40x = 342,545.10 × 161,878.60
  4. Step 4: Simplify right side
    228,363.40x = 55,450,721,224.86
  5. Step 5: Solve for x
    x = 55,450,721,224.86/228,363.40
  6. Step 6: Final answer
    x = 242,817.90

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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.