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Finding the Fourth Proportional to 280,274.88, 386,678.10 and 215,763.84

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Solution

The fourth proportional to 280,274.88, 386,678.10 and 215,763.84 is: 297,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,274.88 : 386,678.10 = 215,763.84 : x
  2. Step 2: Convert to fraction form
    280,274.88/386,678.10 = 215,763.84/x
  3. Step 3: Cross multiply
    280,274.88x = 386,678.10 × 215,763.84
  4. Step 4: Simplify right side
    280,274.88x = 83,431,151,699.90
  5. Step 5: Solve for x
    x = 83,431,151,699.90/280,274.88
  6. Step 6: Final answer
    x = 297,676.17

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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.