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Finding the Fourth Proportional to 290,493.60, 435,740.40 and 165,847.20

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Solution

The fourth proportional to 290,493.60, 435,740.40 and 165,847.20 is: 248,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,493.60 : 435,740.40 = 165,847.20 : x
  2. Step 2: Convert to fraction form
    290,493.60/435,740.40 = 165,847.20/x
  3. Step 3: Cross multiply
    290,493.60x = 435,740.40 × 165,847.20
  4. Step 4: Simplify right side
    290,493.60x = 72,266,325,266.88
  5. Step 5: Solve for x
    x = 72,266,325,266.88/290,493.60
  6. Step 6: Final answer
    x = 248,770.80

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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.