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Finding the Fourth Proportional to 263,302.78, 363,368.14 and 154,391.98

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Solution

The fourth proportional to 263,302.78, 363,368.14 and 154,391.98 is: 213,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,302.78 : 363,368.14 = 154,391.98 : x
  2. Step 2: Convert to fraction form
    263,302.78/363,368.14 = 154,391.98/x
  3. Step 3: Cross multiply
    263,302.78x = 363,368.14 × 154,391.98
  4. Step 4: Simplify right side
    263,302.78x = 56,101,124,923.14
  5. Step 5: Solve for x
    x = 56,101,124,923.14/263,302.78
  6. Step 6: Final answer
    x = 213,066.97

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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.