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Finding the Fourth Proportional to 413,040.40, 619,414.80 and 146,809.60

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Solution

The fourth proportional to 413,040.40, 619,414.80 and 146,809.60 is: 220,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,040.40 : 619,414.80 = 146,809.60 : x
  2. Step 2: Convert to fraction form
    413,040.40/619,414.80 = 146,809.60/x
  3. Step 3: Cross multiply
    413,040.40x = 619,414.80 × 146,809.60
  4. Step 4: Simplify right side
    413,040.40x = 90,936,039,022.08
  5. Step 5: Solve for x
    x = 90,936,039,022.08/413,040.40
  6. Step 6: Final answer
    x = 220,162.58

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1.5x scale

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.