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Finding the Fourth Proportional to 275,704.40, 413,262.56 and 157,120.40

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Solution

The fourth proportional to 275,704.40, 413,262.56 and 157,120.40 is: 235,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,704.40 : 413,262.56 = 157,120.40 : x
  2. Step 2: Convert to fraction form
    275,704.40/413,262.56 = 157,120.40/x
  3. Step 3: Cross multiply
    275,704.40x = 413,262.56 × 157,120.40
  4. Step 4: Simplify right side
    275,704.40x = 64,931,975,880.31
  5. Step 5: Solve for x
    x = 64,931,975,880.31/275,704.40
  6. Step 6: Final answer
    x = 235,513.02

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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.