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Finding the Fourth Proportional to 500,262.78, 690,361.84 and 270,820

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Solution

The fourth proportional to 500,262.78, 690,361.84 and 270,820 is: 373,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,262.78 : 690,361.84 = 270,820 : x
  2. Step 2: Convert to fraction form
    500,262.78/690,361.84 = 270,820/x
  3. Step 3: Cross multiply
    500,262.78x = 690,361.84 × 270,820
  4. Step 4: Simplify right side
    500,262.78x = 186,963,792,831.75
  5. Step 5: Solve for x
    x = 186,963,792,831.75/500,262.78
  6. Step 6: Final answer
    x = 373,731.17

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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.