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Finding the Fourth Proportional to 398,415.80, 597,623.70 and 370,422.20

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Solution

The fourth proportional to 398,415.80, 597,623.70 and 370,422.20 is: 555,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,415.80 : 597,623.70 = 370,422.20 : x
  2. Step 2: Convert to fraction form
    398,415.80/597,623.70 = 370,422.20/x
  3. Step 3: Cross multiply
    398,415.80x = 597,623.70 × 370,422.20
  4. Step 4: Simplify right side
    398,415.80x = 221,373,085,726.14
  5. Step 5: Solve for x
    x = 221,373,085,726.14/398,415.80
  6. Step 6: Final answer
    x = 555,633.30

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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.