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Finding the Fourth Proportional to 413,660.16, 620,422.56 and 147,381.12

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Solution

The fourth proportional to 413,660.16, 620,422.56 and 147,381.12 is: 221,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,660.16 : 620,422.56 = 147,381.12 : x
  2. Step 2: Convert to fraction form
    413,660.16/620,422.56 = 147,381.12/x
  3. Step 3: Cross multiply
    413,660.16x = 620,422.56 × 147,381.12
  4. Step 4: Simplify right side
    413,660.16x = 91,438,571,766.07
  5. Step 5: Solve for x
    x = 91,438,571,766.07/413,660.16
  6. Step 6: Final answer
    x = 221,047.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.