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Finding the Fourth Proportional to 917,908, 1,266,831.84 and 515,500

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Solution

The fourth proportional to 917,908, 1,266,831.84 and 515,500 is: 711,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,908 : 1,266,831.84 = 515,500 : x
  2. Step 2: Convert to fraction form
    917,908/1,266,831.84 = 515,500/x
  3. Step 3: Cross multiply
    917,908x = 1,266,831.84 × 515,500
  4. Step 4: Simplify right side
    917,908x = 653,051,813,520
  5. Step 5: Solve for x
    x = 653,051,813,520/917,908
  6. Step 6: Final answer
    x = 711,456.72

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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.