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Finding the Fourth Proportional to 429,294.48, 643,941 and 163,054.44

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Solution

The fourth proportional to 429,294.48, 643,941 and 163,054.44 is: 244,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,294.48 : 643,941 = 163,054.44 : x
  2. Step 2: Convert to fraction form
    429,294.48/643,941 = 163,054.44/x
  3. Step 3: Cross multiply
    429,294.48x = 643,941 × 163,054.44
  4. Step 4: Simplify right side
    429,294.48x = 104,997,439,148.04
  5. Step 5: Solve for x
    x = 104,997,439,148.04/429,294.48
  6. Step 6: Final answer
    x = 244,581.39

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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.