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Finding the Fourth Proportional to 418,903.59, 578,069.69 and 227,917.74

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Solution

The fourth proportional to 418,903.59, 578,069.69 and 227,917.74 is: 314,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,903.59 : 578,069.69 = 227,917.74 : x
  2. Step 2: Convert to fraction form
    418,903.59/578,069.69 = 227,917.74/x
  3. Step 3: Cross multiply
    418,903.59x = 578,069.69 × 227,917.74
  4. Step 4: Simplify right side
    418,903.59x = 131,752,336,167.71
  5. Step 5: Solve for x
    x = 131,752,336,167.71/418,903.59
  6. Step 6: Final answer
    x = 314,517.09

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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.