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Finding the Fourth Proportional to 290,538.88, 435,833.40 and 80,176.80

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Solution

The fourth proportional to 290,538.88, 435,833.40 and 80,176.80 is: 120,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,538.88 : 435,833.40 = 80,176.80 : x
  2. Step 2: Convert to fraction form
    290,538.88/435,833.40 = 80,176.80/x
  3. Step 3: Cross multiply
    290,538.88x = 435,833.40 × 80,176.80
  4. Step 4: Simplify right side
    290,538.88x = 34,943,727,345.12
  5. Step 5: Solve for x
    x = 34,943,727,345.12/290,538.88
  6. Step 6: Final answer
    x = 120,272.12

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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.