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Finding the Fourth Proportional to 421,659.16, 581,894.24 and 230,668.45

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Solution

The fourth proportional to 421,659.16, 581,894.24 and 230,668.45 is: 318,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,659.16 : 581,894.24 = 230,668.45 : x
  2. Step 2: Convert to fraction form
    421,659.16/581,894.24 = 230,668.45/x
  3. Step 3: Cross multiply
    421,659.16x = 581,894.24 × 230,668.45
  4. Step 4: Simplify right side
    421,659.16x = 134,224,639,796.65
  5. Step 5: Solve for x
    x = 134,224,639,796.65/421,659.16
  6. Step 6: Final answer
    x = 318,324.97

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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.