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Finding the Fourth Proportional to 421,242.42, 581,314.50 and 230,256.57

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Solution

The fourth proportional to 421,242.42, 581,314.50 and 230,256.57 is: 317,754.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,242.42 : 581,314.50 = 230,256.57 : x
  2. Step 2: Convert to fraction form
    421,242.42/581,314.50 = 230,256.57/x
  3. Step 3: Cross multiply
    421,242.42x = 581,314.50 × 230,256.57
  4. Step 4: Simplify right side
    421,242.42x = 133,851,482,861.27
  5. Step 5: Solve for x
    x = 133,851,482,861.27/421,242.42
  6. Step 6: Final answer
    x = 317,754.04

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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.