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Finding the Fourth Proportional to 298,700, 412,206 and 164,566.88

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Solution

The fourth proportional to 298,700, 412,206 and 164,566.88 is: 227,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,700 : 412,206 = 164,566.88 : x
  2. Step 2: Convert to fraction form
    298,700/412,206 = 164,566.88/x
  3. Step 3: Cross multiply
    298,700x = 412,206 × 164,566.88
  4. Step 4: Simplify right side
    298,700x = 67,835,455,337.28
  5. Step 5: Solve for x
    x = 67,835,455,337.28/298,700
  6. Step 6: Final answer
    x = 227,102.29

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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.