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Finding the Fourth Proportional to 647,978.64, 894,198 and 357,617.52

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Solution

The fourth proportional to 647,978.64, 894,198 and 357,617.52 is: 493,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,978.64 : 894,198 = 357,617.52 : x
  2. Step 2: Convert to fraction form
    647,978.64/894,198 = 357,617.52/x
  3. Step 3: Cross multiply
    647,978.64x = 894,198 × 357,617.52
  4. Step 4: Simplify right side
    647,978.64x = 319,780,871,148.96
  5. Step 5: Solve for x
    x = 319,780,871,148.96/647,978.64
  6. Step 6: Final answer
    x = 493,505.27

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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.