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Finding the Fourth Proportional to 704,121.87, 971,688.44 and 381,831.88

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Solution

The fourth proportional to 704,121.87, 971,688.44 and 381,831.88 is: 526,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,121.87 : 971,688.44 = 381,831.88 : x
  2. Step 2: Convert to fraction form
    704,121.87/971,688.44 = 381,831.88/x
  3. Step 3: Cross multiply
    704,121.87x = 971,688.44 × 381,831.88
  4. Step 4: Simplify right side
    704,121.87x = 371,021,624,556.79
  5. Step 5: Solve for x
    x = 371,021,624,556.79/704,121.87
  6. Step 6: Final answer
    x = 526,928.14

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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.