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Finding the Fourth Proportional to 476,490.87, 657,578.84 and 285,500.16

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Solution

The fourth proportional to 476,490.87, 657,578.84 and 285,500.16 is: 394,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,490.87 : 657,578.84 = 285,500.16 : x
  2. Step 2: Convert to fraction form
    476,490.87/657,578.84 = 285,500.16/x
  3. Step 3: Cross multiply
    476,490.87x = 657,578.84 × 285,500.16
  4. Step 4: Simplify right side
    476,490.87x = 187,738,864,032.61
  5. Step 5: Solve for x
    x = 187,738,864,032.61/476,490.87
  6. Step 6: Final answer
    x = 394,003.07

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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.