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Finding the Fourth Proportional to 221,699.69, 303,729.71 and 213,397.14

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Solution

The fourth proportional to 221,699.69, 303,729.71 and 213,397.14 is: 292,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,699.69 : 303,729.71 = 213,397.14 : x
  2. Step 2: Convert to fraction form
    221,699.69/303,729.71 = 213,397.14/x
  3. Step 3: Cross multiply
    221,699.69x = 303,729.71 × 213,397.14
  4. Step 4: Simplify right side
    221,699.69x = 64,815,051,447.03
  5. Step 5: Solve for x
    x = 64,815,051,447.03/221,699.69
  6. Step 6: Final answer
    x = 292,355.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.