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Finding the Fourth Proportional to 419,006.75, 578,242.43 and 237,726.32

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Solution

The fourth proportional to 419,006.75, 578,242.43 and 237,726.32 is: 328,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,006.75 : 578,242.43 = 237,726.32 : x
  2. Step 2: Convert to fraction form
    419,006.75/578,242.43 = 237,726.32/x
  3. Step 3: Cross multiply
    419,006.75x = 578,242.43 × 237,726.32
  4. Step 4: Simplify right side
    419,006.75x = 137,463,440,871.91
  5. Step 5: Solve for x
    x = 137,463,440,871.91/419,006.75
  6. Step 6: Final answer
    x = 328,069.76

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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.