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Finding the Fourth Proportional to 398,174.50, 549,480.84 and 219,326.50

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Solution

The fourth proportional to 398,174.50, 549,480.84 and 219,326.50 is: 302,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,174.50 : 549,480.84 = 219,326.50 : x
  2. Step 2: Convert to fraction form
    398,174.50/549,480.84 = 219,326.50/x
  3. Step 3: Cross multiply
    398,174.50x = 549,480.84 × 219,326.50
  4. Step 4: Simplify right side
    398,174.50x = 120,515,709,454.26
  5. Step 5: Solve for x
    x = 120,515,709,454.26/398,174.50
  6. Step 6: Final answer
    x = 302,670.59

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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.