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Finding the Fourth Proportional to 644,085.60, 965,744.40 and 394,946.40

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Solution

The fourth proportional to 644,085.60, 965,744.40 and 394,946.40 is: 592,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,085.60 : 965,744.40 = 394,946.40 : x
  2. Step 2: Convert to fraction form
    644,085.60/965,744.40 = 394,946.40/x
  3. Step 3: Cross multiply
    644,085.60x = 965,744.40 × 394,946.40
  4. Step 4: Simplify right side
    644,085.60x = 381,417,274,100.16
  5. Step 5: Solve for x
    x = 381,417,274,100.16/644,085.60
  6. Step 6: Final answer
    x = 592,184.14

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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.