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Finding the Fourth Proportional to 427,401.48, 640,535.94 and 227,290.98

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Solution

The fourth proportional to 427,401.48, 640,535.94 and 227,290.98 is: 340,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,401.48 : 640,535.94 = 227,290.98 : x
  2. Step 2: Convert to fraction form
    427,401.48/640,535.94 = 227,290.98/x
  3. Step 3: Cross multiply
    427,401.48x = 640,535.94 × 227,290.98
  4. Step 4: Simplify right side
    427,401.48x = 145,588,041,527.82
  5. Step 5: Solve for x
    x = 145,588,041,527.82/427,401.48
  6. Step 6: Final answer
    x = 340,635.32

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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.