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Finding the Fourth Proportional to 228,488.68, 315,276.78 and 143,545.24

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Solution

The fourth proportional to 228,488.68, 315,276.78 and 143,545.24 is: 198,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,488.68 : 315,276.78 = 143,545.24 : x
  2. Step 2: Convert to fraction form
    228,488.68/315,276.78 = 143,545.24/x
  3. Step 3: Cross multiply
    228,488.68x = 315,276.78 × 143,545.24
  4. Step 4: Simplify right side
    228,488.68x = 45,256,481,051.53
  5. Step 5: Solve for x
    x = 45,256,481,051.53/228,488.68
  6. Step 6: Final answer
    x = 198,068.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.