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Finding the Fourth Proportional to 491,443.65, 678,401.45 and 330,392.16

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Solution

The fourth proportional to 491,443.65, 678,401.45 and 330,392.16 is: 456,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,443.65 : 678,401.45 = 330,392.16 : x
  2. Step 2: Convert to fraction form
    491,443.65/678,401.45 = 330,392.16/x
  3. Step 3: Cross multiply
    491,443.65x = 678,401.45 × 330,392.16
  4. Step 4: Simplify right side
    491,443.65x = 224,138,521,238.61
  5. Step 5: Solve for x
    x = 224,138,521,238.61/491,443.65
  6. Step 6: Final answer
    x = 456,081.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.