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Finding the Fourth Proportional to 398,105.70, 549,377.64 and 216,820.81

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Solution

The fourth proportional to 398,105.70, 549,377.64 and 216,820.81 is: 299,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,105.70 : 549,377.64 = 216,820.81 : x
  2. Step 2: Convert to fraction form
    398,105.70/549,377.64 = 216,820.81/x
  3. Step 3: Cross multiply
    398,105.70x = 549,377.64 × 216,820.81
  4. Step 4: Simplify right side
    398,105.70x = 119,116,504,900.69
  5. Step 5: Solve for x
    x = 119,116,504,900.69/398,105.70
  6. Step 6: Final answer
    x = 299,208.24

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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.