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Finding the Fourth Proportional to 468,848, 647,007.64 and 253,992.26

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Solution

The fourth proportional to 468,848, 647,007.64 and 253,992.26 is: 350,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,848 : 647,007.64 = 253,992.26 : x
  2. Step 2: Convert to fraction form
    468,848/647,007.64 = 253,992.26/x
  3. Step 3: Cross multiply
    468,848x = 647,007.64 × 253,992.26
  4. Step 4: Simplify right side
    468,848x = 164,334,932,720.87
  5. Step 5: Solve for x
    x = 164,334,932,720.87/468,848
  6. Step 6: Final answer
    x = 350,507.91

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1.5x scale

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.