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Finding the Fourth Proportional to 860,143.84, 1,187,039.01 and 478,177

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Solution

The fourth proportional to 860,143.84, 1,187,039.01 and 478,177 is: 659,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,143.84 : 1,187,039.01 = 478,177 : x
  2. Step 2: Convert to fraction form
    860,143.84/1,187,039.01 = 478,177/x
  3. Step 3: Cross multiply
    860,143.84x = 1,187,039.01 × 478,177
  4. Step 4: Simplify right side
    860,143.84x = 567,614,752,684.77
  5. Step 5: Solve for x
    x = 567,614,752,684.77/860,143.84
  6. Step 6: Final answer
    x = 659,906.78

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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.