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Finding the Fourth Proportional to 514,942.48, 710,662.50 and 285,522.53

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Solution

The fourth proportional to 514,942.48, 710,662.50 and 285,522.53 is: 394,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,942.48 : 710,662.50 = 285,522.53 : x
  2. Step 2: Convert to fraction form
    514,942.48/710,662.50 = 285,522.53/x
  3. Step 3: Cross multiply
    514,942.48x = 710,662.50 × 285,522.53
  4. Step 4: Simplify right side
    514,942.48x = 202,910,154,976.13
  5. Step 5: Solve for x
    x = 202,910,154,976.13/514,942.48
  6. Step 6: Final answer
    x = 394,044.31

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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.