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Finding the Fourth Proportional to 290,641.05, 435,969.86 and 80,279.01

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Solution

The fourth proportional to 290,641.05, 435,969.86 and 80,279.01 is: 120,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,641.05 : 435,969.86 = 80,279.01 : x
  2. Step 2: Convert to fraction form
    290,641.05/435,969.86 = 80,279.01/x
  3. Step 3: Cross multiply
    290,641.05x = 435,969.86 × 80,279.01
  4. Step 4: Simplify right side
    290,641.05x = 34,999,228,349.24
  5. Step 5: Solve for x
    x = 34,999,228,349.24/290,641.05
  6. Step 6: Final answer
    x = 120,420.80

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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.