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Finding the Fourth Proportional to 466,496.89, 643,964.31 and 313,623.77

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Solution

The fourth proportional to 466,496.89, 643,964.31 and 313,623.77 is: 432,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,496.89 : 643,964.31 = 313,623.77 : x
  2. Step 2: Convert to fraction form
    466,496.89/643,964.31 = 313,623.77/x
  3. Step 3: Cross multiply
    466,496.89x = 643,964.31 × 313,623.77
  4. Step 4: Simplify right side
    466,496.89x = 201,962,511,427.83
  5. Step 5: Solve for x
    x = 201,962,511,427.83/466,496.89
  6. Step 6: Final answer
    x = 432,934.32

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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.