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Finding the Fourth Proportional to 419,364.52, 578,712.42 and 240,505

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Solution

The fourth proportional to 419,364.52, 578,712.42 and 240,505 is: 331,890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,364.52 : 578,712.42 = 240,505 : x
  2. Step 2: Convert to fraction form
    419,364.52/578,712.42 = 240,505/x
  3. Step 3: Cross multiply
    419,364.52x = 578,712.42 × 240,505
  4. Step 4: Simplify right side
    419,364.52x = 139,183,230,572.10
  5. Step 5: Solve for x
    x = 139,183,230,572.10/419,364.52
  6. Step 6: Final answer
    x = 331,890.81

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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.