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Finding the Fourth Proportional to 328,219.10, 492,037.05 and 194,957.90

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Solution

The fourth proportional to 328,219.10, 492,037.05 and 194,957.90 is: 292,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,219.10 : 492,037.05 = 194,957.90 : x
  2. Step 2: Convert to fraction form
    328,219.10/492,037.05 = 194,957.90/x
  3. Step 3: Cross multiply
    328,219.10x = 492,037.05 × 194,957.90
  4. Step 4: Simplify right side
    328,219.10x = 95,926,509,990.20
  5. Step 5: Solve for x
    x = 95,926,509,990.20/328,219.10
  6. Step 6: Final answer
    x = 292,263.64

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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.