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Finding the Fourth Proportional to 356,854.70, 492,458.73 and 205,951.70

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Solution

The fourth proportional to 356,854.70, 492,458.73 and 205,951.70 is: 284,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,854.70 : 492,458.73 = 205,951.70 : x
  2. Step 2: Convert to fraction form
    356,854.70/492,458.73 = 205,951.70/x
  3. Step 3: Cross multiply
    356,854.70x = 492,458.73 × 205,951.70
  4. Step 4: Simplify right side
    356,854.70x = 101,422,712,623.34
  5. Step 5: Solve for x
    x = 101,422,712,623.34/356,854.70
  6. Step 6: Final answer
    x = 284,212.91

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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.