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Finding the Fourth Proportional to 427,463.75, 638,038.67 and 377,035.31

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Solution

The fourth proportional to 427,463.75, 638,038.67 and 377,035.31 is: 562,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,463.75 : 638,038.67 = 377,035.31 : x
  2. Step 2: Convert to fraction form
    427,463.75/638,038.67 = 377,035.31/x
  3. Step 3: Cross multiply
    427,463.75x = 638,038.67 × 377,035.31
  4. Step 4: Simplify right side
    427,463.75x = 240,563,102,660.07
  5. Step 5: Solve for x
    x = 240,563,102,660.07/427,463.75
  6. Step 6: Final answer
    x = 562,768.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.