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Finding the Fourth Proportional to 398,063.64, 549,302.94 and 219,215.64

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Solution

The fourth proportional to 398,063.64, 549,302.94 and 219,215.64 is: 302,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,063.64 : 549,302.94 = 219,215.64 : x
  2. Step 2: Convert to fraction form
    398,063.64/549,302.94 = 219,215.64/x
  3. Step 3: Cross multiply
    398,063.64x = 549,302.94 × 219,215.64
  4. Step 4: Simplify right side
    398,063.64x = 120,415,795,545.98
  5. Step 5: Solve for x
    x = 120,415,795,545.98/398,063.64
  6. Step 6: Final answer
    x = 302,503.88

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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.