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Finding the Fourth Proportional to 230,181.31, 317,645.31 and 128,206.45

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Solution

The fourth proportional to 230,181.31, 317,645.31 and 128,206.45 is: 176,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,181.31 : 317,645.31 = 128,206.45 : x
  2. Step 2: Convert to fraction form
    230,181.31/317,645.31 = 128,206.45/x
  3. Step 3: Cross multiply
    230,181.31x = 317,645.31 × 128,206.45
  4. Step 4: Simplify right side
    230,181.31x = 40,724,177,554.25
  5. Step 5: Solve for x
    x = 40,724,177,554.25/230,181.31
  6. Step 6: Final answer
    x = 176,922.17

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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.