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Finding the Fourth Proportional to 489,578.51, 734,212.23 and 157,076.75

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Solution

The fourth proportional to 489,578.51, 734,212.23 and 157,076.75 is: 235,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,578.51 : 734,212.23 = 157,076.75 : x
  2. Step 2: Convert to fraction form
    489,578.51/734,212.23 = 157,076.75/x
  3. Step 3: Cross multiply
    489,578.51x = 734,212.23 × 157,076.75
  4. Step 4: Simplify right side
    489,578.51x = 115,327,670,898.65
  5. Step 5: Solve for x
    x = 115,327,670,898.65/489,578.51
  6. Step 6: Final answer
    x = 235,565.22

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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.