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Finding the Fourth Proportional to 289,743.60, 434,615.40 and 278,079.60

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Solution

The fourth proportional to 289,743.60, 434,615.40 and 278,079.60 is: 417,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,743.60 : 434,615.40 = 278,079.60 : x
  2. Step 2: Convert to fraction form
    289,743.60/434,615.40 = 278,079.60/x
  3. Step 3: Cross multiply
    289,743.60x = 434,615.40 × 278,079.60
  4. Step 4: Simplify right side
    289,743.60x = 120,857,676,585.84
  5. Step 5: Solve for x
    x = 120,857,676,585.84/289,743.60
  6. Step 6: Final answer
    x = 417,119.40

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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.