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Finding the Fourth Proportional to 514,396.22, 709,859.08 and 284,952.82

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Solution

The fourth proportional to 514,396.22, 709,859.08 and 284,952.82 is: 393,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,396.22 : 709,859.08 = 284,952.82 : x
  2. Step 2: Convert to fraction form
    514,396.22/709,859.08 = 284,952.82/x
  3. Step 3: Cross multiply
    514,396.22x = 709,859.08 × 284,952.82
  4. Step 4: Simplify right side
    514,396.22x = 202,276,346,648.61
  5. Step 5: Solve for x
    x = 202,276,346,648.61/514,396.22
  6. Step 6: Final answer
    x = 393,230.62

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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.