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Finding the Fourth Proportional to 421,458.64, 631,522.14 and 342,185.56

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Solution

The fourth proportional to 421,458.64, 631,522.14 and 342,185.56 is: 512,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,458.64 : 631,522.14 = 342,185.56 : x
  2. Step 2: Convert to fraction form
    421,458.64/631,522.14 = 342,185.56/x
  3. Step 3: Cross multiply
    421,458.64x = 631,522.14 × 342,185.56
  4. Step 4: Simplify right side
    421,458.64x = 216,097,757,128.30
  5. Step 5: Solve for x
    x = 216,097,757,128.30/421,458.64
  6. Step 6: Final answer
    x = 512,737.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.