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Finding the Fourth Proportional to 666,761.69, 920,123.94 and 360,831.30

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Solution

The fourth proportional to 666,761.69, 920,123.94 and 360,831.30 is: 497,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,761.69 : 920,123.94 = 360,831.30 : x
  2. Step 2: Convert to fraction form
    666,761.69/920,123.94 = 360,831.30/x
  3. Step 3: Cross multiply
    666,761.69x = 920,123.94 × 360,831.30
  4. Step 4: Simplify right side
    666,761.69x = 332,009,517,431.32
  5. Step 5: Solve for x
    x = 332,009,517,431.32/666,761.69
  6. Step 6: Final answer
    x = 497,943.31

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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.