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Finding the Fourth Proportional to 290,138.95, 435,367.29 and 112,652.97

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Solution

The fourth proportional to 290,138.95, 435,367.29 and 112,652.97 is: 169,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,138.95 : 435,367.29 = 112,652.97 : x
  2. Step 2: Convert to fraction form
    290,138.95/435,367.29 = 112,652.97/x
  3. Step 3: Cross multiply
    290,138.95x = 435,367.29 × 112,652.97
  4. Step 4: Simplify right side
    290,138.95x = 49,045,418,259.35
  5. Step 5: Solve for x
    x = 49,045,418,259.35/290,138.95
  6. Step 6: Final answer
    x = 169,041.14

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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.