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Finding the Fourth Proportional to 472,728.75, 709,099.27 and 157,185.65

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Solution

The fourth proportional to 472,728.75, 709,099.27 and 157,185.65 is: 235,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,728.75 : 709,099.27 = 157,185.65 : x
  2. Step 2: Convert to fraction form
    472,728.75/709,099.27 = 157,185.65/x
  3. Step 3: Cross multiply
    472,728.75x = 709,099.27 × 157,185.65
  4. Step 4: Simplify right side
    472,728.75x = 111,460,229,669.48
  5. Step 5: Solve for x
    x = 111,460,229,669.48/472,728.75
  6. Step 6: Final answer
    x = 235,780.52

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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.