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Finding the Fourth Proportional to 317,105.76, 437,351.82 and 278,783.88

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Solution

The fourth proportional to 317,105.76, 437,351.82 and 278,783.88 is: 384,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,105.76 : 437,351.82 = 278,783.88 : x
  2. Step 2: Convert to fraction form
    317,105.76/437,351.82 = 278,783.88/x
  3. Step 3: Cross multiply
    317,105.76x = 437,351.82 × 278,783.88
  4. Step 4: Simplify right side
    317,105.76x = 121,926,637,304.66
  5. Step 5: Solve for x
    x = 121,926,637,304.66/317,105.76
  6. Step 6: Final answer
    x = 384,498.34

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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.