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Finding the Fourth Proportional to 385,518, 532,295.46 and 309,455.49

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Solution

The fourth proportional to 385,518, 532,295.46 and 309,455.49 is: 427,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,518 : 532,295.46 = 309,455.49 : x
  2. Step 2: Convert to fraction form
    385,518/532,295.46 = 309,455.49/x
  3. Step 3: Cross multiply
    385,518x = 532,295.46 × 309,455.49
  4. Step 4: Simplify right side
    385,518x = 164,721,752,399.08
  5. Step 5: Solve for x
    x = 164,721,752,399.08/385,518
  6. Step 6: Final answer
    x = 427,273.83

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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.