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Finding the Fourth Proportional to 421,520.16, 581,689.68 and 230,532.96

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Solution

The fourth proportional to 421,520.16, 581,689.68 and 230,532.96 is: 318,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,520.16 : 581,689.68 = 230,532.96 : x
  2. Step 2: Convert to fraction form
    421,520.16/581,689.68 = 230,532.96/x
  3. Step 3: Cross multiply
    421,520.16x = 581,689.68 × 230,532.96
  4. Step 4: Simplify right side
    421,520.16x = 134,098,643,731.85
  5. Step 5: Solve for x
    x = 134,098,643,731.85/421,520.16
  6. Step 6: Final answer
    x = 318,131.03

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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.