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Finding the Fourth Proportional to 472,728.68, 709,099.17 and 157,185.59

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Solution

The fourth proportional to 472,728.68, 709,099.17 and 157,185.59 is: 235,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,728.68 : 709,099.17 = 157,185.59 : x
  2. Step 2: Convert to fraction form
    472,728.68/709,099.17 = 157,185.59/x
  3. Step 3: Cross multiply
    472,728.68x = 709,099.17 × 157,185.59
  4. Step 4: Simplify right side
    472,728.68x = 111,460,167,859.46
  5. Step 5: Solve for x
    x = 111,460,167,859.46/472,728.68
  6. Step 6: Final answer
    x = 235,780.42

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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.