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Finding the Fourth Proportional to 329,094, 493,641 and 79,776

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Solution

The fourth proportional to 329,094, 493,641 and 79,776 is: 119,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,094 : 493,641 = 79,776 : x
  2. Step 2: Convert to fraction form
    329,094/493,641 = 79,776/x
  3. Step 3: Cross multiply
    329,094x = 493,641 × 79,776
  4. Step 4: Simplify right side
    329,094x = 39,380,704,416
  5. Step 5: Solve for x
    x = 39,380,704,416/329,094
  6. Step 6: Final answer
    x = 119,664

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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.