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Finding the Fourth Proportional to 275,475.47, 413,212.46 and 155,478.02

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Solution

The fourth proportional to 275,475.47, 413,212.46 and 155,478.02 is: 233,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,475.47 : 413,212.46 = 155,478.02 : x
  2. Step 2: Convert to fraction form
    275,475.47/413,212.46 = 155,478.02/x
  3. Step 3: Cross multiply
    275,475.47x = 413,212.46 × 155,478.02
  4. Step 4: Simplify right side
    275,475.47x = 64,245,452,276.68
  5. Step 5: Solve for x
    x = 64,245,452,276.68/275,475.47
  6. Step 6: Final answer
    x = 233,216.60

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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.