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Finding the Fourth Proportional to 328,070.65, 492,105.98 and 187,730.05

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Solution

The fourth proportional to 328,070.65, 492,105.98 and 187,730.05 is: 281,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,070.65 : 492,105.98 = 187,730.05 : x
  2. Step 2: Convert to fraction form
    328,070.65/492,105.98 = 187,730.05/x
  3. Step 3: Cross multiply
    328,070.65x = 492,105.98 × 187,730.05
  4. Step 4: Simplify right side
    328,070.65x = 92,383,080,230.70
  5. Step 5: Solve for x
    x = 92,383,080,230.70/328,070.65
  6. Step 6: Final answer
    x = 281,595.08

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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.