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Finding the Fourth Proportional to 429,144.84, 643,717.80 and 148,662.08

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Solution

The fourth proportional to 429,144.84, 643,717.80 and 148,662.08 is: 222,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,144.84 : 643,717.80 = 148,662.08 : x
  2. Step 2: Convert to fraction form
    429,144.84/643,717.80 = 148,662.08/x
  3. Step 3: Cross multiply
    429,144.84x = 643,717.80 × 148,662.08
  4. Step 4: Simplify right side
    429,144.84x = 95,696,427,081.02
  5. Step 5: Solve for x
    x = 95,696,427,081.02/429,144.84
  6. Step 6: Final answer
    x = 222,993.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.