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Finding the Fourth Proportional to 356,859.62, 492,510.02 and 205,956.62

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Solution

The fourth proportional to 356,859.62, 492,510.02 and 205,956.62 is: 284,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,859.62 : 492,510.02 = 205,956.62 : x
  2. Step 2: Convert to fraction form
    356,859.62/492,510.02 = 205,956.62/x
  3. Step 3: Cross multiply
    356,859.62x = 492,510.02 × 205,956.62
  4. Step 4: Simplify right side
    356,859.62x = 101,435,699,035.33
  5. Step 5: Solve for x
    x = 101,435,699,035.33/356,859.62
  6. Step 6: Final answer
    x = 284,245.38

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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.