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Finding the Fourth Proportional to 510,862.44, 705,012.05 and 284,507.94

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Solution

The fourth proportional to 510,862.44, 705,012.05 and 284,507.94 is: 392,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,862.44 : 705,012.05 = 284,507.94 : x
  2. Step 2: Convert to fraction form
    510,862.44/705,012.05 = 284,507.94/x
  3. Step 3: Cross multiply
    510,862.44x = 705,012.05 × 284,507.94
  4. Step 4: Simplify right side
    510,862.44x = 200,581,524,598.14
  5. Step 5: Solve for x
    x = 200,581,524,598.14/510,862.44
  6. Step 6: Final answer
    x = 392,633.14

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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.