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Finding the Fourth Proportional to 289,757.40, 399,948.48 and 175,017.78

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Solution

The fourth proportional to 289,757.40, 399,948.48 and 175,017.78 is: 241,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,757.40 : 399,948.48 = 175,017.78 : x
  2. Step 2: Convert to fraction form
    289,757.40/399,948.48 = 175,017.78/x
  3. Step 3: Cross multiply
    289,757.40x = 399,948.48 × 175,017.78
  4. Step 4: Simplify right side
    289,757.40x = 69,998,095,083.97
  5. Step 5: Solve for x
    x = 69,998,095,083.97/289,757.40
  6. Step 6: Final answer
    x = 241,574.83

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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.