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Finding the Fourth Proportional to 419,533.66, 578,951.23 and 228,542.95

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Solution

The fourth proportional to 419,533.66, 578,951.23 and 228,542.95 is: 315,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,533.66 : 578,951.23 = 228,542.95 : x
  2. Step 2: Convert to fraction form
    419,533.66/578,951.23 = 228,542.95/x
  3. Step 3: Cross multiply
    419,533.66x = 578,951.23 × 228,542.95
  4. Step 4: Simplify right side
    419,533.66x = 132,315,217,972.86
  5. Step 5: Solve for x
    x = 132,315,217,972.86/419,533.66
  6. Step 6: Final answer
    x = 315,386.42

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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.