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Finding the Fourth Proportional to 390,123.51, 585,354.29 and 137,584.46

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Solution

The fourth proportional to 390,123.51, 585,354.29 and 137,584.46 is: 206,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,123.51 : 585,354.29 = 137,584.46 : x
  2. Step 2: Convert to fraction form
    390,123.51/585,354.29 = 137,584.46/x
  3. Step 3: Cross multiply
    390,123.51x = 585,354.29 × 137,584.46
  4. Step 4: Simplify right side
    390,123.51x = 80,535,650,283.64
  5. Step 5: Solve for x
    x = 80,535,650,283.64/390,123.51
  6. Step 6: Final answer
    x = 206,436.29

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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.