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Finding the Fourth Proportional to 643,221, 964,831.50 and 440,617.32

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Solution

The fourth proportional to 643,221, 964,831.50 and 440,617.32 is: 660,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,221 : 964,831.50 = 440,617.32 : x
  2. Step 2: Convert to fraction form
    643,221/964,831.50 = 440,617.32/x
  3. Step 3: Cross multiply
    643,221x = 964,831.50 × 440,617.32
  4. Step 4: Simplify right side
    643,221x = 425,121,469,781.58
  5. Step 5: Solve for x
    x = 425,121,469,781.58/643,221
  6. Step 6: Final answer
    x = 660,925.98

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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.