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Finding the Fourth Proportional to 466,642, 643,965.96 and 254,674

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Solution

The fourth proportional to 466,642, 643,965.96 and 254,674 is: 351,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,642 : 643,965.96 = 254,674 : x
  2. Step 2: Convert to fraction form
    466,642/643,965.96 = 254,674/x
  3. Step 3: Cross multiply
    466,642x = 643,965.96 × 254,674
  4. Step 4: Simplify right side
    466,642x = 164,001,386,897.04
  5. Step 5: Solve for x
    x = 164,001,386,897.04/466,642
  6. Step 6: Final answer
    x = 351,450.12

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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.