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Finding the Fourth Proportional to 419,437.35, 578,834.82 and 228,463.02

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Solution

The fourth proportional to 419,437.35, 578,834.82 and 228,463.02 is: 315,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,437.35 : 578,834.82 = 228,463.02 : x
  2. Step 2: Convert to fraction form
    419,437.35/578,834.82 = 228,463.02/x
  3. Step 3: Cross multiply
    419,437.35x = 578,834.82 × 228,463.02
  4. Step 4: Simplify right side
    419,437.35x = 132,242,351,058.36
  5. Step 5: Solve for x
    x = 132,242,351,058.36/419,437.35
  6. Step 6: Final answer
    x = 315,285.11

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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.