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Finding the Fourth Proportional to 419,808.87, 579,330.36 and 228,823.02

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Solution

The fourth proportional to 419,808.87, 579,330.36 and 228,823.02 is: 315,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,808.87 : 579,330.36 = 228,823.02 : x
  2. Step 2: Convert to fraction form
    419,808.87/579,330.36 = 228,823.02/x
  3. Step 3: Cross multiply
    419,808.87x = 579,330.36 × 228,823.02
  4. Step 4: Simplify right side
    419,808.87x = 132,564,122,552.89
  5. Step 5: Solve for x
    x = 132,564,122,552.89/419,808.87
  6. Step 6: Final answer
    x = 315,772.56

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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.