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Finding the Fourth Proportional to 421,120.86, 581,133.27 and 230,133.66

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Solution

The fourth proportional to 421,120.86, 581,133.27 and 230,133.66 is: 317,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,120.86 : 581,133.27 = 230,133.66 : x
  2. Step 2: Convert to fraction form
    421,120.86/581,133.27 = 230,133.66/x
  3. Step 3: Cross multiply
    421,120.86x = 581,133.27 × 230,133.66
  4. Step 4: Simplify right side
    421,120.86x = 133,738,326,372.87
  5. Step 5: Solve for x
    x = 133,738,326,372.87/421,120.86
  6. Step 6: Final answer
    x = 317,577.06

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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.