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Finding the Fourth Proportional to 328,700.16, 491,909.76 and 202,284

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Solution

The fourth proportional to 328,700.16, 491,909.76 and 202,284 is: 302,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,700.16 : 491,909.76 = 202,284 : x
  2. Step 2: Convert to fraction form
    328,700.16/491,909.76 = 202,284/x
  3. Step 3: Cross multiply
    328,700.16x = 491,909.76 × 202,284
  4. Step 4: Simplify right side
    328,700.16x = 99,505,473,891.84
  5. Step 5: Solve for x
    x = 99,505,473,891.84/328,700.16
  6. Step 6: Final answer
    x = 302,724.14

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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.