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Finding the Fourth Proportional to 938,154, 1,407,231 and 412,842

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Solution

The fourth proportional to 938,154, 1,407,231 and 412,842 is: 619,263

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,154 : 1,407,231 = 412,842 : x
  2. Step 2: Convert to fraction form
    938,154/1,407,231 = 412,842/x
  3. Step 3: Cross multiply
    938,154x = 1,407,231 × 412,842
  4. Step 4: Simplify right side
    938,154x = 580,964,060,502
  5. Step 5: Solve for x
    x = 580,964,060,502/938,154
  6. Step 6: Final answer
    x = 619,263

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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.