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Finding the Fourth Proportional to 511,831.40, 762,494.11 and 488,802.38

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Solution

The fourth proportional to 511,831.40, 762,494.11 and 488,802.38 is: 728,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,831.40 : 762,494.11 = 488,802.38 : x
  2. Step 2: Convert to fraction form
    511,831.40/762,494.11 = 488,802.38/x
  3. Step 3: Cross multiply
    511,831.40x = 762,494.11 × 488,802.38
  4. Step 4: Simplify right side
    511,831.40x = 372,708,935,703.98
  5. Step 5: Solve for x
    x = 372,708,935,703.98/511,831.40
  6. Step 6: Final answer
    x = 728,186.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.