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Finding the Fourth Proportional to 419,120.43, 578,398.93 and 296,831.89

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Solution

The fourth proportional to 419,120.43, 578,398.93 and 296,831.89 is: 409,637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,120.43 : 578,398.93 = 296,831.89 : x
  2. Step 2: Convert to fraction form
    419,120.43/578,398.93 = 296,831.89/x
  3. Step 3: Cross multiply
    419,120.43x = 578,398.93 × 296,831.89
  4. Step 4: Simplify right side
    419,120.43x = 171,687,247,546.80
  5. Step 5: Solve for x
    x = 171,687,247,546.80/419,120.43
  6. Step 6: Final answer
    x = 409,637.03

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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.