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Finding the Fourth Proportional to 397,855.50, 549,041.67 and 219,007.50

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Solution

The fourth proportional to 397,855.50, 549,041.67 and 219,007.50 is: 302,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,855.50 : 549,041.67 = 219,007.50 : x
  2. Step 2: Convert to fraction form
    397,855.50/549,041.67 = 219,007.50/x
  3. Step 3: Cross multiply
    397,855.50x = 549,041.67 × 219,007.50
  4. Step 4: Simplify right side
    397,855.50x = 120,244,243,542.53
  5. Step 5: Solve for x
    x = 120,244,243,542.53/397,855.50
  6. Step 6: Final answer
    x = 302,230.94

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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.