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Finding the Fourth Proportional to 290,482.40, 435,723.60 and 172,092.80

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Solution

The fourth proportional to 290,482.40, 435,723.60 and 172,092.80 is: 258,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,482.40 : 435,723.60 = 172,092.80 : x
  2. Step 2: Convert to fraction form
    290,482.40/435,723.60 = 172,092.80/x
  3. Step 3: Cross multiply
    290,482.40x = 435,723.60 × 172,092.80
  4. Step 4: Simplify right side
    290,482.40x = 74,984,894,350.08
  5. Step 5: Solve for x
    x = 74,984,894,350.08/290,482.40
  6. Step 6: Final answer
    x = 258,139.20

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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.