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Finding the Fourth Proportional to 342,225.06, 513,410.85 and 102,357.78

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Solution

The fourth proportional to 342,225.06, 513,410.85 and 102,357.78 is: 153,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,225.06 : 513,410.85 = 102,357.78 : x
  2. Step 2: Convert to fraction form
    342,225.06/513,410.85 = 102,357.78/x
  3. Step 3: Cross multiply
    342,225.06x = 513,410.85 × 102,357.78
  4. Step 4: Simplify right side
    342,225.06x = 52,551,594,833.91
  5. Step 5: Solve for x
    x = 52,551,594,833.91/342,225.06
  6. Step 6: Final answer
    x = 153,558.58

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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.