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Finding the Fourth Proportional to 351,813.50, 527,720.26 and 154,821.50

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Solution

The fourth proportional to 351,813.50, 527,720.26 and 154,821.50 is: 232,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,813.50 : 527,720.26 = 154,821.50 : x
  2. Step 2: Convert to fraction form
    351,813.50/527,720.26 = 154,821.50/x
  3. Step 3: Cross multiply
    351,813.50x = 527,720.26 × 154,821.50
  4. Step 4: Simplify right side
    351,813.50x = 81,702,442,233.59
  5. Step 5: Solve for x
    x = 81,702,442,233.59/351,813.50
  6. Step 6: Final answer
    x = 232,232.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.