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Finding the Fourth Proportional to 564,629.79, 846,930.79 and 138,162.21

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Solution

The fourth proportional to 564,629.79, 846,930.79 and 138,162.21 is: 207,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,629.79 : 846,930.79 = 138,162.21 : x
  2. Step 2: Convert to fraction form
    564,629.79/846,930.79 = 138,162.21/x
  3. Step 3: Cross multiply
    564,629.79x = 846,930.79 × 138,162.21
  4. Step 4: Simplify right side
    564,629.79x = 117,013,825,883.00
  5. Step 5: Solve for x
    x = 117,013,825,883.00/564,629.79
  6. Step 6: Final answer
    x = 207,239.91

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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.