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Finding the Fourth Proportional to 402,156.36, 603,234 and 102,636.90

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Solution

The fourth proportional to 402,156.36, 603,234 and 102,636.90 is: 153,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,156.36 : 603,234 = 102,636.90 : x
  2. Step 2: Convert to fraction form
    402,156.36/603,234 = 102,636.90/x
  3. Step 3: Cross multiply
    402,156.36x = 603,234 × 102,636.90
  4. Step 4: Simplify right side
    402,156.36x = 61,914,067,734.60
  5. Step 5: Solve for x
    x = 61,914,067,734.60/402,156.36
  6. Step 6: Final answer
    x = 153,955.21

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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.