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Finding the Fourth Proportional to 409,736, 614,707.68 and 114,248

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Solution

The fourth proportional to 409,736, 614,707.68 and 114,248 is: 171,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,736 : 614,707.68 = 114,248 : x
  2. Step 2: Convert to fraction form
    409,736/614,707.68 = 114,248/x
  3. Step 3: Cross multiply
    409,736x = 614,707.68 × 114,248
  4. Step 4: Simplify right side
    409,736x = 70,229,123,024.64
  5. Step 5: Solve for x
    x = 70,229,123,024.64/409,736
  6. Step 6: Final answer
    x = 171,400.91

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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.