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Finding the Fourth Proportional to 398,031.77, 549,139.58 and 225,850.02

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Solution

The fourth proportional to 398,031.77, 549,139.58 and 225,850.02 is: 311,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,031.77 : 549,139.58 = 225,850.02 : x
  2. Step 2: Convert to fraction form
    398,031.77/549,139.58 = 225,850.02/x
  3. Step 3: Cross multiply
    398,031.77x = 549,139.58 × 225,850.02
  4. Step 4: Simplify right side
    398,031.77x = 124,023,183,996.54
  5. Step 5: Solve for x
    x = 124,023,183,996.54/398,031.77
  6. Step 6: Final answer
    x = 311,591.17

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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.