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Finding the Fourth Proportional to 421,478.64, 631,552.14 and 342,205.56

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Solution

The fourth proportional to 421,478.64, 631,552.14 and 342,205.56 is: 512,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,478.64 : 631,552.14 = 342,205.56 : x
  2. Step 2: Convert to fraction form
    421,478.64/631,552.14 = 342,205.56/x
  3. Step 3: Cross multiply
    421,478.64x = 631,552.14 × 342,205.56
  4. Step 4: Simplify right side
    421,478.64x = 216,120,653,737.90
  5. Step 5: Solve for x
    x = 216,120,653,737.90/421,478.64
  6. Step 6: Final answer
    x = 512,767.75

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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.