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Finding the Fourth Proportional to 523,621, 722,596.98 and 285,157

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Solution

The fourth proportional to 523,621, 722,596.98 and 285,157 is: 393,516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,621 : 722,596.98 = 285,157 : x
  2. Step 2: Convert to fraction form
    523,621/722,596.98 = 285,157/x
  3. Step 3: Cross multiply
    523,621x = 722,596.98 × 285,157
  4. Step 4: Simplify right side
    523,621x = 206,053,587,025.86
  5. Step 5: Solve for x
    x = 206,053,587,025.86/523,621
  6. Step 6: Final answer
    x = 393,516.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.