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Finding the Fourth Proportional to 429,290.82, 643,936.23 and 148,808.07

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Solution

The fourth proportional to 429,290.82, 643,936.23 and 148,808.07 is: 223,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,290.82 : 643,936.23 = 148,808.07 : x
  2. Step 2: Convert to fraction form
    429,290.82/643,936.23 = 148,808.07/x
  3. Step 3: Cross multiply
    429,290.82x = 643,936.23 × 148,808.07
  4. Step 4: Simplify right side
    429,290.82x = 95,822,907,589.38
  5. Step 5: Solve for x
    x = 95,822,907,589.38/429,290.82
  6. Step 6: Final answer
    x = 223,212.11

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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.