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Finding the Fourth Proportional to 329,125.50, 493,689.87 and 79,807.50

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Solution

The fourth proportional to 329,125.50, 493,689.87 and 79,807.50 is: 119,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,125.50 : 493,689.87 = 79,807.50 : x
  2. Step 2: Convert to fraction form
    329,125.50/493,689.87 = 79,807.50/x
  3. Step 3: Cross multiply
    329,125.50x = 493,689.87 × 79,807.50
  4. Step 4: Simplify right side
    329,125.50x = 39,400,154,300.03
  5. Step 5: Solve for x
    x = 39,400,154,300.03/329,125.50
  6. Step 6: Final answer
    x = 119,711.64

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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.