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Finding the Fourth Proportional to 511,831.36, 706,342.44 and 285,472

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Solution

The fourth proportional to 511,831.36, 706,342.44 and 285,472 is: 393,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,831.36 : 706,342.44 = 285,472 : x
  2. Step 2: Convert to fraction form
    511,831.36/706,342.44 = 285,472/x
  3. Step 3: Cross multiply
    511,831.36x = 706,342.44 × 285,472
  4. Step 4: Simplify right side
    511,831.36x = 201,640,989,031.68
  5. Step 5: Solve for x
    x = 201,640,989,031.68/511,831.36
  6. Step 6: Final answer
    x = 393,959.82

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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.