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Finding the Fourth Proportional to 290,232.40, 435,244.92 and 103,206.64

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Solution

The fourth proportional to 290,232.40, 435,244.92 and 103,206.64 is: 154,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,232.40 : 435,244.92 = 103,206.64 : x
  2. Step 2: Convert to fraction form
    290,232.40/435,244.92 = 103,206.64/x
  3. Step 3: Cross multiply
    290,232.40x = 435,244.92 × 103,206.64
  4. Step 4: Simplify right side
    290,232.40x = 44,920,165,770.27
  5. Step 5: Solve for x
    x = 44,920,165,770.27/290,232.40
  6. Step 6: Final answer
    x = 154,773.09

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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.