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Finding the Fourth Proportional to 610,989.48, 843,143.14 and 339,069.24

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Solution

The fourth proportional to 610,989.48, 843,143.14 and 339,069.24 is: 467,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,989.48 : 843,143.14 = 339,069.24 : x
  2. Step 2: Convert to fraction form
    610,989.48/843,143.14 = 339,069.24/x
  3. Step 3: Cross multiply
    610,989.48x = 843,143.14 × 339,069.24
  4. Step 4: Simplify right side
    610,989.48x = 285,883,903,691.01
  5. Step 5: Solve for x
    x = 285,883,903,691.01/610,989.48
  6. Step 6: Final answer
    x = 467,903.15

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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.