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Finding the Fourth Proportional to 390,101.97, 585,233.15 and 176,767.41

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Solution

The fourth proportional to 390,101.97, 585,233.15 and 176,767.41 is: 265,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,101.97 : 585,233.15 = 176,767.41 : x
  2. Step 2: Convert to fraction form
    390,101.97/585,233.15 = 176,767.41/x
  3. Step 3: Cross multiply
    390,101.97x = 585,233.15 × 176,767.41
  4. Step 4: Simplify right side
    390,101.97x = 103,450,148,171.64
  5. Step 5: Solve for x
    x = 103,450,148,171.64/390,101.97
  6. Step 6: Final answer
    x = 265,187.45

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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.