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Finding the Fourth Proportional to 325,386.12, 487,964.79 and 97,613.82

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Solution

The fourth proportional to 325,386.12, 487,964.79 and 97,613.82 is: 146,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,386.12 : 487,964.79 = 97,613.82 : x
  2. Step 2: Convert to fraction form
    325,386.12/487,964.79 = 97,613.82/x
  3. Step 3: Cross multiply
    325,386.12x = 487,964.79 × 97,613.82
  4. Step 4: Simplify right side
    325,386.12x = 47,632,107,177.40
  5. Step 5: Solve for x
    x = 47,632,107,177.40/325,386.12
  6. Step 6: Final answer
    x = 146,386.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.