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Finding the Fourth Proportional to 328,502.20, 492,753.30 and 188,145.40

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Solution

The fourth proportional to 328,502.20, 492,753.30 and 188,145.40 is: 282,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,502.20 : 492,753.30 = 188,145.40 : x
  2. Step 2: Convert to fraction form
    328,502.20/492,753.30 = 188,145.40/x
  3. Step 3: Cross multiply
    328,502.20x = 492,753.30 × 188,145.40
  4. Step 4: Simplify right side
    328,502.20x = 92,709,266,729.82
  5. Step 5: Solve for x
    x = 92,709,266,729.82/328,502.20
  6. Step 6: Final answer
    x = 282,218.10

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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.