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Finding the Fourth Proportional to 356,902.80, 492,567.03 and 213,662.76

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Solution

The fourth proportional to 356,902.80, 492,567.03 and 213,662.76 is: 294,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,902.80 : 492,567.03 = 213,662.76 : x
  2. Step 2: Convert to fraction form
    356,902.80/492,567.03 = 213,662.76/x
  3. Step 3: Cross multiply
    356,902.80x = 492,567.03 × 213,662.76
  4. Step 4: Simplify right side
    356,902.80x = 105,243,231,114.80
  5. Step 5: Solve for x
    x = 105,243,231,114.80/356,902.80
  6. Step 6: Final answer
    x = 294,879.25

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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.