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Finding the Fourth Proportional to 412,998.90, 569,929.35 and 231,707.58

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Solution

The fourth proportional to 412,998.90, 569,929.35 and 231,707.58 is: 319,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,998.90 : 569,929.35 = 231,707.58 : x
  2. Step 2: Convert to fraction form
    412,998.90/569,929.35 = 231,707.58/x
  3. Step 3: Cross multiply
    412,998.90x = 569,929.35 × 231,707.58
  4. Step 4: Simplify right side
    412,998.90x = 132,056,950,459.47
  5. Step 5: Solve for x
    x = 132,056,950,459.47/412,998.90
  6. Step 6: Final answer
    x = 319,751.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.