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Finding the Fourth Proportional to 415,875.80, 622,647.30 and 404,211.80

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Solution

The fourth proportional to 415,875.80, 622,647.30 and 404,211.80 is: 605,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,875.80 : 622,647.30 = 404,211.80 : x
  2. Step 2: Convert to fraction form
    415,875.80/622,647.30 = 404,211.80/x
  3. Step 3: Cross multiply
    415,875.80x = 622,647.30 × 404,211.80
  4. Step 4: Simplify right side
    415,875.80x = 251,681,385,898.14
  5. Step 5: Solve for x
    x = 251,681,385,898.14/415,875.80
  6. Step 6: Final answer
    x = 605,184.01

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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.