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Finding the Fourth Proportional to 287,398.96, 430,929.24 and 109,918.96

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Solution

The fourth proportional to 287,398.96, 430,929.24 and 109,918.96 is: 164,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,398.96 : 430,929.24 = 109,918.96 : x
  2. Step 2: Convert to fraction form
    287,398.96/430,929.24 = 109,918.96/x
  3. Step 3: Cross multiply
    287,398.96x = 430,929.24 × 109,918.96
  4. Step 4: Simplify right side
    287,398.96x = 47,367,293,894.39
  5. Step 5: Solve for x
    x = 47,367,293,894.39/287,398.96
  6. Step 6: Final answer
    x = 164,813.73

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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.