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Finding the Fourth Proportional to 398,219.40, 549,542.52 and 219,371.40

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Solution

The fourth proportional to 398,219.40, 549,542.52 and 219,371.40 is: 302,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,219.40 : 549,542.52 = 219,371.40 : x
  2. Step 2: Convert to fraction form
    398,219.40/549,542.52 = 219,371.40/x
  3. Step 3: Cross multiply
    398,219.40x = 549,542.52 × 219,371.40
  4. Step 4: Simplify right side
    398,219.40x = 120,553,911,971.93
  5. Step 5: Solve for x
    x = 120,553,911,971.93/398,219.40
  6. Step 6: Final answer
    x = 302,732.39

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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.