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Finding the Fourth Proportional to 704,121.49, 971,687.92 and 381,831.51

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Solution

The fourth proportional to 704,121.49, 971,687.92 and 381,831.51 is: 526,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,121.49 : 971,687.92 = 381,831.51 : x
  2. Step 2: Convert to fraction form
    704,121.49/971,687.92 = 381,831.51/x
  3. Step 3: Cross multiply
    704,121.49x = 971,687.92 × 381,831.51
  4. Step 4: Simplify right side
    704,121.49x = 371,021,060,948.93
  5. Step 5: Solve for x
    x = 371,021,060,948.93/704,121.49
  6. Step 6: Final answer
    x = 526,927.62

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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.