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Finding the Fourth Proportional to 275,417.70, 414,001.35 and 259,671.30

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Solution

The fourth proportional to 275,417.70, 414,001.35 and 259,671.30 is: 390,331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,417.70 : 414,001.35 = 259,671.30 : x
  2. Step 2: Convert to fraction form
    275,417.70/414,001.35 = 259,671.30/x
  3. Step 3: Cross multiply
    275,417.70x = 414,001.35 × 259,671.30
  4. Step 4: Simplify right side
    275,417.70x = 107,504,268,756.26
  5. Step 5: Solve for x
    x = 107,504,268,756.26/275,417.70
  6. Step 6: Final answer
    x = 390,331.74

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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.