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Finding the Fourth Proportional to 468,286.31, 646,235.11 and 253,426.42

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Solution

The fourth proportional to 468,286.31, 646,235.11 and 253,426.42 is: 349,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,286.31 : 646,235.11 = 253,426.42 : x
  2. Step 2: Convert to fraction form
    468,286.31/646,235.11 = 253,426.42/x
  3. Step 3: Cross multiply
    468,286.31x = 646,235.11 × 253,426.42
  4. Step 4: Simplify right side
    468,286.31x = 163,773,048,156.45
  5. Step 5: Solve for x
    x = 163,773,048,156.45/468,286.31
  6. Step 6: Final answer
    x = 349,728.45

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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.