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Finding the Fourth Proportional to 419,006.72, 578,242.40 and 237,726.29

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Solution

The fourth proportional to 419,006.72, 578,242.40 and 237,726.29 is: 328,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,006.72 : 578,242.40 = 237,726.29 : x
  2. Step 2: Convert to fraction form
    419,006.72/578,242.40 = 237,726.29/x
  3. Step 3: Cross multiply
    419,006.72x = 578,242.40 × 237,726.29
  4. Step 4: Simplify right side
    419,006.72x = 137,463,420,729.67
  5. Step 5: Solve for x
    x = 137,463,420,729.67/419,006.72
  6. Step 6: Final answer
    x = 328,069.73

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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.