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Finding the Fourth Proportional to 270,206.76, 405,310.14 and 70,525.40

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Solution

The fourth proportional to 270,206.76, 405,310.14 and 70,525.40 is: 105,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,206.76 : 405,310.14 = 70,525.40 : x
  2. Step 2: Convert to fraction form
    270,206.76/405,310.14 = 70,525.40/x
  3. Step 3: Cross multiply
    270,206.76x = 405,310.14 × 70,525.40
  4. Step 4: Simplify right side
    270,206.76x = 28,584,659,394.93
  5. Step 5: Solve for x
    x = 28,584,659,394.93/270,206.76
  6. Step 6: Final answer
    x = 105,788.10

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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.