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Finding the Fourth Proportional to 304,854, 420,656.42 and 168,854.20

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Solution

The fourth proportional to 304,854, 420,656.42 and 168,854.20 is: 232,995.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,854 : 420,656.42 = 168,854.20 : x
  2. Step 2: Convert to fraction form
    304,854/420,656.42 = 168,854.20/x
  3. Step 3: Cross multiply
    304,854x = 420,656.42 × 168,854.20
  4. Step 4: Simplify right side
    304,854x = 71,029,603,273.96
  5. Step 5: Solve for x
    x = 71,029,603,273.96/304,854
  6. Step 6: Final answer
    x = 232,995.48

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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.