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Finding the Fourth Proportional to 240,020.84, 331,216 and 138,030.12

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Solution

The fourth proportional to 240,020.84, 331,216 and 138,030.12 is: 190,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,020.84 : 331,216 = 138,030.12 : x
  2. Step 2: Convert to fraction form
    240,020.84/331,216 = 138,030.12/x
  3. Step 3: Cross multiply
    240,020.84x = 331,216 × 138,030.12
  4. Step 4: Simplify right side
    240,020.84x = 45,717,784,225.92
  5. Step 5: Solve for x
    x = 45,717,784,225.92/240,020.84
  6. Step 6: Final answer
    x = 190,474.23

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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.