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Finding the Fourth Proportional to 658,533.86, 908,781.09 and 356,727.86

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Solution

The fourth proportional to 658,533.86, 908,781.09 and 356,727.86 is: 492,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,533.86 : 908,781.09 = 356,727.86 : x
  2. Step 2: Convert to fraction form
    658,533.86/908,781.09 = 356,727.86/x
  3. Step 3: Cross multiply
    658,533.86x = 908,781.09 × 356,727.86
  4. Step 4: Simplify right side
    658,533.86x = 324,187,533,444.17
  5. Step 5: Solve for x
    x = 324,187,533,444.17/658,533.86
  6. Step 6: Final answer
    x = 492,286.81

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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.