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Finding the Fourth Proportional to 398,219.65, 549,542.87 and 219,371.65

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Solution

The fourth proportional to 398,219.65, 549,542.87 and 219,371.65 is: 302,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,219.65 : 549,542.87 = 219,371.65 : x
  2. Step 2: Convert to fraction form
    398,219.65/549,542.87 = 219,371.65/x
  3. Step 3: Cross multiply
    398,219.65x = 549,542.87 × 219,371.65
  4. Step 4: Simplify right side
    398,219.65x = 120,554,126,137.64
  5. Step 5: Solve for x
    x = 120,554,126,137.64/398,219.65
  6. Step 6: Final answer
    x = 302,732.74

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1.5x scale

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.