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Finding the Fourth Proportional to 280,274.54, 386,791.48 and 157,809.10

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Solution

The fourth proportional to 280,274.54, 386,791.48 and 157,809.10 is: 217,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,274.54 : 386,791.48 = 157,809.10 : x
  2. Step 2: Convert to fraction form
    280,274.54/386,791.48 = 157,809.10/x
  3. Step 3: Cross multiply
    280,274.54x = 386,791.48 × 157,809.10
  4. Step 4: Simplify right side
    280,274.54x = 61,039,215,346.47
  5. Step 5: Solve for x
    x = 61,039,215,346.47/280,274.54
  6. Step 6: Final answer
    x = 217,783.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.