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Finding the Fourth Proportional to 229,812.92, 317,012.26 and 137,908.40

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Solution

The fourth proportional to 229,812.92, 317,012.26 and 137,908.40 is: 190,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,812.92 : 317,012.26 = 137,908.40 : x
  2. Step 2: Convert to fraction form
    229,812.92/317,012.26 = 137,908.40/x
  3. Step 3: Cross multiply
    229,812.92x = 317,012.26 × 137,908.40
  4. Step 4: Simplify right side
    229,812.92x = 43,718,653,556.98
  5. Step 5: Solve for x
    x = 43,718,653,556.98/229,812.92
  6. Step 6: Final answer
    x = 190,235.84

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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.