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Finding the Fourth Proportional to 413,902.90, 621,000.15 and 203,400.10

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Solution

The fourth proportional to 413,902.90, 621,000.15 and 203,400.10 is: 305,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,902.90 : 621,000.15 = 203,400.10 : x
  2. Step 2: Convert to fraction form
    413,902.90/621,000.15 = 203,400.10/x
  3. Step 3: Cross multiply
    413,902.90x = 621,000.15 × 203,400.10
  4. Step 4: Simplify right side
    413,902.90x = 126,311,492,610.02
  5. Step 5: Solve for x
    x = 126,311,492,610.02/413,902.90
  6. Step 6: Final answer
    x = 305,171.80

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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.