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Finding the Fourth Proportional to 397,865.36, 549,079.08 and 219,017.36

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Solution

The fourth proportional to 397,865.36, 549,079.08 and 219,017.36 is: 302,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,865.36 : 549,079.08 = 219,017.36 : x
  2. Step 2: Convert to fraction form
    397,865.36/549,079.08 = 219,017.36/x
  3. Step 3: Cross multiply
    397,865.36x = 549,079.08 × 219,017.36
  4. Step 4: Simplify right side
    397,865.36x = 120,257,850,532.83
  5. Step 5: Solve for x
    x = 120,257,850,532.83/397,865.36
  6. Step 6: Final answer
    x = 302,257.65

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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.