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Finding the Fourth Proportional to 229,386.80, 343,108.20 and 205,864.40

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Solution

The fourth proportional to 229,386.80, 343,108.20 and 205,864.40 is: 307,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,386.80 : 343,108.20 = 205,864.40 : x
  2. Step 2: Convert to fraction form
    229,386.80/343,108.20 = 205,864.40/x
  3. Step 3: Cross multiply
    229,386.80x = 343,108.20 × 205,864.40
  4. Step 4: Simplify right side
    229,386.80x = 70,633,763,728.08
  5. Step 5: Solve for x
    x = 70,633,763,728.08/229,386.80
  6. Step 6: Final answer
    x = 307,924.27

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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.