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Finding the Fourth Proportional to 647,832.72, 894,049.20 and 357,442.86

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Solution

The fourth proportional to 647,832.72, 894,049.20 and 357,442.86 is: 493,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,832.72 : 894,049.20 = 357,442.86 : x
  2. Step 2: Convert to fraction form
    647,832.72/894,049.20 = 357,442.86/x
  3. Step 3: Cross multiply
    647,832.72x = 894,049.20 × 357,442.86
  4. Step 4: Simplify right side
    647,832.72x = 319,571,503,028.71
  5. Step 5: Solve for x
    x = 319,571,503,028.71/647,832.72
  6. Step 6: Final answer
    x = 493,293.24

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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.