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Finding the Fourth Proportional to 290,446.29, 435,038.53 and 140,371.84

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Solution

The fourth proportional to 290,446.29, 435,038.53 and 140,371.84 is: 210,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,446.29 : 435,038.53 = 140,371.84 : x
  2. Step 2: Convert to fraction form
    290,446.29/435,038.53 = 140,371.84/x
  3. Step 3: Cross multiply
    290,446.29x = 435,038.53 × 140,371.84
  4. Step 4: Simplify right side
    290,446.29x = 61,067,158,040.97
  5. Step 5: Solve for x
    x = 61,067,158,040.97/290,446.29
  6. Step 6: Final answer
    x = 210,252.85

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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.