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Finding the Fourth Proportional to 342,721.60, 513,818.72 and 174,103.36

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Solution

The fourth proportional to 342,721.60, 513,818.72 and 174,103.36 is: 261,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,721.60 : 513,818.72 = 174,103.36 : x
  2. Step 2: Convert to fraction form
    342,721.60/513,818.72 = 174,103.36/x
  3. Step 3: Cross multiply
    342,721.60x = 513,818.72 × 174,103.36
  4. Step 4: Simplify right side
    342,721.60x = 89,457,565,582.90
  5. Step 5: Solve for x
    x = 89,457,565,582.90/342,721.60
  6. Step 6: Final answer
    x = 261,021.09

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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.