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Finding the Fourth Proportional to 411,857.84, 568,431.82 and 282,690.20

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Solution

The fourth proportional to 411,857.84, 568,431.82 and 282,690.20 is: 390,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,857.84 : 568,431.82 = 282,690.20 : x
  2. Step 2: Convert to fraction form
    411,857.84/568,431.82 = 282,690.20/x
  3. Step 3: Cross multiply
    411,857.84x = 568,431.82 × 282,690.20
  4. Step 4: Simplify right side
    411,857.84x = 160,690,104,882.16
  5. Step 5: Solve for x
    x = 160,690,104,882.16/411,857.84
  6. Step 6: Final answer
    x = 390,159.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.