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Finding the Fourth Proportional to 429,296.48, 643,944 and 163,056.44

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Solution

The fourth proportional to 429,296.48, 643,944 and 163,056.44 is: 244,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,296.48 : 643,944 = 163,056.44 : x
  2. Step 2: Convert to fraction form
    429,296.48/643,944 = 163,056.44/x
  3. Step 3: Cross multiply
    429,296.48x = 643,944 × 163,056.44
  4. Step 4: Simplify right side
    429,296.48x = 104,999,216,199.36
  5. Step 5: Solve for x
    x = 104,999,216,199.36/429,296.48
  6. Step 6: Final answer
    x = 244,584.39

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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.