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Finding the Fourth Proportional to 328,961.87, 492,695.46 and 257,438.77

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Solution

The fourth proportional to 328,961.87, 492,695.46 and 257,438.77 is: 385,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,961.87 : 492,695.46 = 257,438.77 : x
  2. Step 2: Convert to fraction form
    328,961.87/492,695.46 = 257,438.77/x
  3. Step 3: Cross multiply
    328,961.87x = 492,695.46 × 257,438.77
  4. Step 4: Simplify right side
    328,961.87x = 126,838,913,206.98
  5. Step 5: Solve for x
    x = 126,838,913,206.98/328,961.87
  6. Step 6: Final answer
    x = 385,573.30

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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.