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Finding the Fourth Proportional to 360,414.72, 540,760.32 and 138,816

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Solution

The fourth proportional to 360,414.72, 540,760.32 and 138,816 is: 208,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,414.72 : 540,760.32 = 138,816 : x
  2. Step 2: Convert to fraction form
    360,414.72/540,760.32 = 138,816/x
  3. Step 3: Cross multiply
    360,414.72x = 540,760.32 × 138,816
  4. Step 4: Simplify right side
    360,414.72x = 75,066,184,581.12
  5. Step 5: Solve for x
    x = 75,066,184,581.12/360,414.72
  6. Step 6: Final answer
    x = 208,277.24

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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.