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Finding the Fourth Proportional to 421,659.27, 581,894.37 and 230,668.56

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Solution

The fourth proportional to 421,659.27, 581,894.37 and 230,668.56 is: 318,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,659.27 : 581,894.37 = 230,668.56 : x
  2. Step 2: Convert to fraction form
    421,659.27/581,894.37 = 230,668.56/x
  3. Step 3: Cross multiply
    421,659.27x = 581,894.37 × 230,668.56
  4. Step 4: Simplify right side
    421,659.27x = 134,224,736,400.01
  5. Step 5: Solve for x
    x = 134,224,736,400.01/421,659.27
  6. Step 6: Final answer
    x = 318,325.12

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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.