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Finding the Fourth Proportional to 494,768.66, 740,981.42 and 314,208.11

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Solution

The fourth proportional to 494,768.66, 740,981.42 and 314,208.11 is: 470,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,768.66 : 740,981.42 = 314,208.11 : x
  2. Step 2: Convert to fraction form
    494,768.66/740,981.42 = 314,208.11/x
  3. Step 3: Cross multiply
    494,768.66x = 740,981.42 × 314,208.11
  4. Step 4: Simplify right side
    494,768.66x = 232,822,372,983.01
  5. Step 5: Solve for x
    x = 232,822,372,983.01/494,768.66
  6. Step 6: Final answer
    x = 470,568.15

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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.