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Finding the Fourth Proportional to 402,682.72, 604,010.10 and 103,166.28

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Solution

The fourth proportional to 402,682.72, 604,010.10 and 103,166.28 is: 154,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,682.72 : 604,010.10 = 103,166.28 : x
  2. Step 2: Convert to fraction form
    402,682.72/604,010.10 = 103,166.28/x
  3. Step 3: Cross multiply
    402,682.72x = 604,010.10 × 103,166.28
  4. Step 4: Simplify right side
    402,682.72x = 62,313,474,583.60
  5. Step 5: Solve for x
    x = 62,313,474,583.60/402,682.72
  6. Step 6: Final answer
    x = 154,745.84

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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.