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Finding the Fourth Proportional to 390,209.82, 538,478.55 and 229,062.30

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Solution

The fourth proportional to 390,209.82, 538,478.55 and 229,062.30 is: 316,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,209.82 : 538,478.55 = 229,062.30 : x
  2. Step 2: Convert to fraction form
    390,209.82/538,478.55 = 229,062.30/x
  3. Step 3: Cross multiply
    390,209.82x = 538,478.55 × 229,062.30
  4. Step 4: Simplify right side
    390,209.82x = 123,345,135,163.67
  5. Step 5: Solve for x
    x = 123,345,135,163.67/390,209.82
  6. Step 6: Final answer
    x = 316,099.52

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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.