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Finding the Fourth Proportional to 511,615.16, 767,955.03 and 376,831.42

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Solution

The fourth proportional to 511,615.16, 767,955.03 and 376,831.42 is: 565,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,615.16 : 767,955.03 = 376,831.42 : x
  2. Step 2: Convert to fraction form
    511,615.16/767,955.03 = 376,831.42/x
  3. Step 3: Cross multiply
    511,615.16x = 767,955.03 × 376,831.42
  4. Step 4: Simplify right side
    511,615.16x = 289,389,583,997.87
  5. Step 5: Solve for x
    x = 289,389,583,997.87/511,615.16
  6. Step 6: Final answer
    x = 565,639.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.