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Finding the Fourth Proportional to 356,795.98, 492,301.38 and 205,805.50

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Solution

The fourth proportional to 356,795.98, 492,301.38 and 205,805.50 is: 283,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,795.98 : 492,301.38 = 205,805.50 : x
  2. Step 2: Convert to fraction form
    356,795.98/492,301.38 = 205,805.50/x
  3. Step 3: Cross multiply
    356,795.98x = 492,301.38 × 205,805.50
  4. Step 4: Simplify right side
    356,795.98x = 101,318,331,661.59
  5. Step 5: Solve for x
    x = 101,318,331,661.59/356,795.98
  6. Step 6: Final answer
    x = 283,967.13

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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.