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Finding the Fourth Proportional to 289,421.60, 434,132.40 and 102,408.80

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Solution

The fourth proportional to 289,421.60, 434,132.40 and 102,408.80 is: 153,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,421.60 : 434,132.40 = 102,408.80 : x
  2. Step 2: Convert to fraction form
    289,421.60/434,132.40 = 102,408.80/x
  3. Step 3: Cross multiply
    289,421.60x = 434,132.40 × 102,408.80
  4. Step 4: Simplify right side
    289,421.60x = 44,458,978,125.12
  5. Step 5: Solve for x
    x = 44,458,978,125.12/289,421.60
  6. Step 6: Final answer
    x = 153,613.20

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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.