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Finding the Fourth Proportional to 342,400.37, 513,709.90 and 164,925.32

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Solution

The fourth proportional to 342,400.37, 513,709.90 and 164,925.32 is: 247,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,400.37 : 513,709.90 = 164,925.32 : x
  2. Step 2: Convert to fraction form
    342,400.37/513,709.90 = 164,925.32/x
  3. Step 3: Cross multiply
    342,400.37x = 513,709.90 × 164,925.32
  4. Step 4: Simplify right side
    342,400.37x = 84,723,766,663.81
  5. Step 5: Solve for x
    x = 84,723,766,663.81/342,400.37
  6. Step 6: Final answer
    x = 247,440.64

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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.