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Finding the Fourth Proportional to 413,915.40, 621,018.90 and 203,412.60

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Solution

The fourth proportional to 413,915.40, 621,018.90 and 203,412.60 is: 305,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,915.40 : 621,018.90 = 203,412.60 : x
  2. Step 2: Convert to fraction form
    413,915.40/621,018.90 = 203,412.60/x
  3. Step 3: Cross multiply
    413,915.40x = 621,018.90 × 203,412.60
  4. Step 4: Simplify right side
    413,915.40x = 126,323,069,098.14
  5. Step 5: Solve for x
    x = 126,323,069,098.14/413,915.40
  6. Step 6: Final answer
    x = 305,190.55

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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.