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Finding the Fourth Proportional to 390,228.84, 585,335.03 and 179,866.78

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Solution

The fourth proportional to 390,228.84, 585,335.03 and 179,866.78 is: 269,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,228.84 : 585,335.03 = 179,866.78 : x
  2. Step 2: Convert to fraction form
    390,228.84/585,335.03 = 179,866.78/x
  3. Step 3: Cross multiply
    390,228.84x = 585,335.03 × 179,866.78
  4. Step 4: Simplify right side
    390,228.84x = 105,282,324,704.63
  5. Step 5: Solve for x
    x = 105,282,324,704.63/390,228.84
  6. Step 6: Final answer
    x = 269,796.37

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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.