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Finding the Fourth Proportional to 415,274.40, 622,911.60 and 407,401.20

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Solution

The fourth proportional to 415,274.40, 622,911.60 and 407,401.20 is: 611,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,274.40 : 622,911.60 = 407,401.20 : x
  2. Step 2: Convert to fraction form
    415,274.40/622,911.60 = 407,401.20/x
  3. Step 3: Cross multiply
    415,274.40x = 622,911.60 × 407,401.20
  4. Step 4: Simplify right side
    415,274.40x = 253,774,933,333.92
  5. Step 5: Solve for x
    x = 253,774,933,333.92/415,274.40
  6. Step 6: Final answer
    x = 611,101.80

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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.