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Finding the Fourth Proportional to 390,160.33, 585,240.49 and 109,677.58

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Solution

The fourth proportional to 390,160.33, 585,240.49 and 109,677.58 is: 164,516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,160.33 : 585,240.49 = 109,677.58 : x
  2. Step 2: Convert to fraction form
    390,160.33/585,240.49 = 109,677.58/x
  3. Step 3: Cross multiply
    390,160.33x = 585,240.49 × 109,677.58
  4. Step 4: Simplify right side
    390,160.33x = 64,187,759,335.21
  5. Step 5: Solve for x
    x = 64,187,759,335.21/390,160.33
  6. Step 6: Final answer
    x = 164,516.37

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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.