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Finding the Fourth Proportional to 265,744.40, 398,172.78 and 186,717.15

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Solution

The fourth proportional to 265,744.40, 398,172.78 and 186,717.15 is: 279,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,744.40 : 398,172.78 = 186,717.15 : x
  2. Step 2: Convert to fraction form
    265,744.40/398,172.78 = 186,717.15/x
  3. Step 3: Cross multiply
    265,744.40x = 398,172.78 × 186,717.15
  4. Step 4: Simplify right side
    265,744.40x = 74,345,686,689.18
  5. Step 5: Solve for x
    x = 74,345,686,689.18/265,744.40
  6. Step 6: Final answer
    x = 279,763.89

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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.