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Finding the Fourth Proportional to 398,065.64, 549,305.70 and 219,217.64

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Solution

The fourth proportional to 398,065.64, 549,305.70 and 219,217.64 is: 302,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,065.64 : 549,305.70 = 219,217.64 : x
  2. Step 2: Convert to fraction form
    398,065.64/549,305.70 = 219,217.64/x
  3. Step 3: Cross multiply
    398,065.64x = 549,305.70 × 219,217.64
  4. Step 4: Simplify right side
    398,065.64x = 120,417,499,192.55
  5. Step 5: Solve for x
    x = 120,417,499,192.55/398,065.64
  6. Step 6: Final answer
    x = 302,506.64

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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.