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Finding the Fourth Proportional to 319,163.86, 478,693.95 and 150,683.86

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Solution

The fourth proportional to 319,163.86, 478,693.95 and 150,683.86 is: 226,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,163.86 : 478,693.95 = 150,683.86 : x
  2. Step 2: Convert to fraction form
    319,163.86/478,693.95 = 150,683.86/x
  3. Step 3: Cross multiply
    319,163.86x = 478,693.95 × 150,683.86
  4. Step 4: Simplify right side
    319,163.86x = 72,131,452,144.65
  5. Step 5: Solve for x
    x = 72,131,452,144.65/319,163.86
  6. Step 6: Final answer
    x = 226,001.32

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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.