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Finding the Fourth Proportional to 290,586.64, 435,266.52 and 132,947.68

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Solution

The fourth proportional to 290,586.64, 435,266.52 and 132,947.68 is: 199,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,586.64 : 435,266.52 = 132,947.68 : x
  2. Step 2: Convert to fraction form
    290,586.64/435,266.52 = 132,947.68/x
  3. Step 3: Cross multiply
    290,586.64x = 435,266.52 × 132,947.68
  4. Step 4: Simplify right side
    290,586.64x = 57,867,674,015.67
  5. Step 5: Solve for x
    x = 57,867,674,015.67/290,586.64
  6. Step 6: Final answer
    x = 199,140.86

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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.