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Finding the Fourth Proportional to 429,093.69, 643,653.80 and 215,870.28

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Solution

The fourth proportional to 429,093.69, 643,653.80 and 215,870.28 is: 323,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,093.69 : 643,653.80 = 215,870.28 : x
  2. Step 2: Convert to fraction form
    429,093.69/643,653.80 = 215,870.28/x
  3. Step 3: Cross multiply
    429,093.69x = 643,653.80 × 215,870.28
  4. Step 4: Simplify right side
    429,093.69x = 138,945,725,489.39
  5. Step 5: Solve for x
    x = 138,945,725,489.39/429,093.69
  6. Step 6: Final answer
    x = 323,812.09

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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.