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Finding the Fourth Proportional to 421,557.86, 581,763.70 and 230,571.26

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Solution

The fourth proportional to 421,557.86, 581,763.70 and 230,571.26 is: 318,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,557.86 : 581,763.70 = 230,571.26 : x
  2. Step 2: Convert to fraction form
    421,557.86/581,763.70 = 230,571.26/x
  3. Step 3: Cross multiply
    421,557.86x = 581,763.70 × 230,571.26
  4. Step 4: Simplify right side
    421,557.86x = 134,137,988,892.27
  5. Step 5: Solve for x
    x = 134,137,988,892.27/421,557.86
  6. Step 6: Final answer
    x = 318,195.91

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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.