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Finding the Fourth Proportional to 351,805.50, 527,708.25 and 154,813.50

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Solution

The fourth proportional to 351,805.50, 527,708.25 and 154,813.50 is: 232,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,805.50 : 527,708.25 = 154,813.50 : x
  2. Step 2: Convert to fraction form
    351,805.50/527,708.25 = 154,813.50/x
  3. Step 3: Cross multiply
    351,805.50x = 527,708.25 × 154,813.50
  4. Step 4: Simplify right side
    351,805.50x = 81,696,361,161.38
  5. Step 5: Solve for x
    x = 81,696,361,161.38/351,805.50
  6. Step 6: Final answer
    x = 232,220.25

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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.