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Finding the Fourth Proportional to 421,525.57, 581,709.88 and 230,534.86

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Solution

The fourth proportional to 421,525.57, 581,709.88 and 230,534.86 is: 318,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,525.57 : 581,709.88 = 230,534.86 : x
  2. Step 2: Convert to fraction form
    421,525.57/581,709.88 = 230,534.86/x
  3. Step 3: Cross multiply
    421,525.57x = 581,709.88 × 230,534.86
  4. Step 4: Simplify right side
    421,525.57x = 134,104,405,022.64
  5. Step 5: Solve for x
    x = 134,104,405,022.64/421,525.57
  6. Step 6: Final answer
    x = 318,140.62

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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.