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Finding the Fourth Proportional to 547,719.57, 820,463.99 and 446,877

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Solution

The fourth proportional to 547,719.57, 820,463.99 and 446,877 is: 669,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,719.57 : 820,463.99 = 446,877 : x
  2. Step 2: Convert to fraction form
    547,719.57/820,463.99 = 446,877/x
  3. Step 3: Cross multiply
    547,719.57x = 820,463.99 × 446,877
  4. Step 4: Simplify right side
    547,719.57x = 366,646,484,224.85
  5. Step 5: Solve for x
    x = 366,646,484,224.85/547,719.57
  6. Step 6: Final answer
    x = 669,405.48

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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.