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Finding the Fourth Proportional to 418,977.86, 578,202.50 and 237,697.43

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Solution

The fourth proportional to 418,977.86, 578,202.50 and 237,697.43 is: 328,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,977.86 : 578,202.50 = 237,697.43 : x
  2. Step 2: Convert to fraction form
    418,977.86/578,202.50 = 237,697.43/x
  3. Step 3: Cross multiply
    418,977.86x = 578,202.50 × 237,697.43
  4. Step 4: Simplify right side
    418,977.86x = 137,437,244,190.08
  5. Step 5: Solve for x
    x = 137,437,244,190.08/418,977.86
  6. Step 6: Final answer
    x = 328,029.85

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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.