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Finding the Fourth Proportional to 415,014.30, 622,521.45 and 411,903.90

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Solution

The fourth proportional to 415,014.30, 622,521.45 and 411,903.90 is: 617,855.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,014.30 : 622,521.45 = 411,903.90 : x
  2. Step 2: Convert to fraction form
    415,014.30/622,521.45 = 411,903.90/x
  3. Step 3: Cross multiply
    415,014.30x = 622,521.45 × 411,903.90
  4. Step 4: Simplify right side
    415,014.30x = 256,419,013,088.66
  5. Step 5: Solve for x
    x = 256,419,013,088.66/415,014.30
  6. Step 6: Final answer
    x = 617,855.85

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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.