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Finding the Fourth Proportional to 398,509.07, 549,934.31 and 217,219.43

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Solution

The fourth proportional to 398,509.07, 549,934.31 and 217,219.43 is: 299,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,509.07 : 549,934.31 = 217,219.43 : x
  2. Step 2: Convert to fraction form
    398,509.07/549,934.31 = 217,219.43/x
  3. Step 3: Cross multiply
    398,509.07x = 549,934.31 × 217,219.43
  4. Step 4: Simplify right side
    398,509.07x = 119,456,419,273.53
  5. Step 5: Solve for x
    x = 119,456,419,273.53/398,509.07
  6. Step 6: Final answer
    x = 299,758.34

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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.