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Finding the Fourth Proportional to 292,542.78, 438,814.16 and 102,958.50

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Solution

The fourth proportional to 292,542.78, 438,814.16 and 102,958.50 is: 154,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,542.78 : 438,814.16 = 102,958.50 : x
  2. Step 2: Convert to fraction form
    292,542.78/438,814.16 = 102,958.50/x
  3. Step 3: Cross multiply
    292,542.78x = 438,814.16 × 102,958.50
  4. Step 4: Simplify right side
    292,542.78x = 45,179,647,692.36
  5. Step 5: Solve for x
    x = 45,179,647,692.36/292,542.78
  6. Step 6: Final answer
    x = 154,437.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.