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Finding the Fourth Proportional to 290,402.01, 435,624.89 and 80,038.13

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Solution

The fourth proportional to 290,402.01, 435,624.89 and 80,038.13 is: 120,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,402.01 : 435,624.89 = 80,038.13 : x
  2. Step 2: Convert to fraction form
    290,402.01/435,624.89 = 80,038.13/x
  3. Step 3: Cross multiply
    290,402.01x = 435,624.89 × 80,038.13
  4. Step 4: Simplify right side
    290,402.01x = 34,866,598,998.74
  5. Step 5: Solve for x
    x = 34,866,598,998.74/290,402.01
  6. Step 6: Final answer
    x = 120,063.22

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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.