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Finding the Fourth Proportional to 346,717.60, 520,076.40 and 213,164.80

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Solution

The fourth proportional to 346,717.60, 520,076.40 and 213,164.80 is: 319,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,717.60 : 520,076.40 = 213,164.80 : x
  2. Step 2: Convert to fraction form
    346,717.60/520,076.40 = 213,164.80/x
  3. Step 3: Cross multiply
    346,717.60x = 520,076.40 × 213,164.80
  4. Step 4: Simplify right side
    346,717.60x = 110,861,981,790.72
  5. Step 5: Solve for x
    x = 110,861,981,790.72/346,717.60
  6. Step 6: Final answer
    x = 319,747.20

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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.