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Finding the Fourth Proportional to 398,135, 549,426.30 and 219,287

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Solution

The fourth proportional to 398,135, 549,426.30 and 219,287 is: 302,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,135 : 549,426.30 = 219,287 : x
  2. Step 2: Convert to fraction form
    398,135/549,426.30 = 219,287/x
  3. Step 3: Cross multiply
    398,135x = 549,426.30 × 219,287
  4. Step 4: Simplify right side
    398,135x = 120,482,045,048.10
  5. Step 5: Solve for x
    x = 120,482,045,048.10/398,135
  6. Step 6: Final answer
    x = 302,616.06

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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.