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Finding the Fourth Proportional to 229,811.92, 317,010.88 and 137,907.40

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Solution

The fourth proportional to 229,811.92, 317,010.88 and 137,907.40 is: 190,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,811.92 : 317,010.88 = 137,907.40 : x
  2. Step 2: Convert to fraction form
    229,811.92/317,010.88 = 137,907.40/x
  3. Step 3: Cross multiply
    229,811.92x = 317,010.88 × 137,907.40
  4. Step 4: Simplify right side
    229,811.92x = 43,718,146,232.51
  5. Step 5: Solve for x
    x = 43,718,146,232.51/229,811.92
  6. Step 6: Final answer
    x = 190,234.46

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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.