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Finding the Fourth Proportional to 229,772.69, 317,240.39 and 205,498.20

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Solution

The fourth proportional to 229,772.69, 317,240.39 and 205,498.20 is: 283,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,772.69 : 317,240.39 = 205,498.20 : x
  2. Step 2: Convert to fraction form
    229,772.69/317,240.39 = 205,498.20/x
  3. Step 3: Cross multiply
    229,772.69x = 317,240.39 × 205,498.20
  4. Step 4: Simplify right side
    229,772.69x = 65,192,328,084.81
  5. Step 5: Solve for x
    x = 65,192,328,084.81/229,772.69
  6. Step 6: Final answer
    x = 283,725.32

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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.