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Finding the Fourth Proportional to 490,854.96, 736,283.48 and 135,870

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Solution

The fourth proportional to 490,854.96, 736,283.48 and 135,870 is: 203,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,854.96 : 736,283.48 = 135,870 : x
  2. Step 2: Convert to fraction form
    490,854.96/736,283.48 = 135,870/x
  3. Step 3: Cross multiply
    490,854.96x = 736,283.48 × 135,870
  4. Step 4: Simplify right side
    490,854.96x = 100,038,836,427.60
  5. Step 5: Solve for x
    x = 100,038,836,427.60/490,854.96
  6. Step 6: Final answer
    x = 203,805.29

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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.