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Finding the Fourth Proportional to 280,274.82, 386,678.16 and 215,763.78

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Solution

The fourth proportional to 280,274.82, 386,678.16 and 215,763.78 is: 297,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,274.82 : 386,678.16 = 215,763.78 : x
  2. Step 2: Convert to fraction form
    280,274.82/386,678.16 = 215,763.78/x
  3. Step 3: Cross multiply
    280,274.82x = 386,678.16 × 215,763.78
  4. Step 4: Simplify right side
    280,274.82x = 83,431,141,445.04
  5. Step 5: Solve for x
    x = 83,431,141,445.04/280,274.82
  6. Step 6: Final answer
    x = 297,676.19

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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.