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Finding the Fourth Proportional to 290,416.68, 435,555.90 and 80,071.56

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Solution

The fourth proportional to 290,416.68, 435,555.90 and 80,071.56 is: 120,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,416.68 : 435,555.90 = 80,071.56 : x
  2. Step 2: Convert to fraction form
    290,416.68/435,555.90 = 80,071.56/x
  3. Step 3: Cross multiply
    290,416.68x = 435,555.90 × 80,071.56
  4. Step 4: Simplify right side
    290,416.68x = 34,875,640,380.20
  5. Step 5: Solve for x
    x = 34,875,640,380.20/290,416.68
  6. Step 6: Final answer
    x = 120,088.28

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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.