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Finding the Fourth Proportional to 282,024, 389,193.12 and 154,699.90

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Solution

The fourth proportional to 282,024, 389,193.12 and 154,699.90 is: 213,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,024 : 389,193.12 = 154,699.90 : x
  2. Step 2: Convert to fraction form
    282,024/389,193.12 = 154,699.90/x
  3. Step 3: Cross multiply
    282,024x = 389,193.12 × 154,699.90
  4. Step 4: Simplify right side
    282,024x = 60,208,135,771.71
  5. Step 5: Solve for x
    x = 60,208,135,771.71/282,024
  6. Step 6: Final answer
    x = 213,485.86

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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.