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Finding the Fourth Proportional to 270,609.76, 405,794.64 and 144,226.45

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Solution

The fourth proportional to 270,609.76, 405,794.64 and 144,226.45 is: 216,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,609.76 : 405,794.64 = 144,226.45 : x
  2. Step 2: Convert to fraction form
    270,609.76/405,794.64 = 144,226.45/x
  3. Step 3: Cross multiply
    270,609.76x = 405,794.64 × 144,226.45
  4. Step 4: Simplify right side
    270,609.76x = 58,526,320,356.23
  5. Step 5: Solve for x
    x = 58,526,320,356.23/270,609.76
  6. Step 6: Final answer
    x = 216,275.72

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1.5x scale

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.