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Finding the Fourth Proportional to 402,036.50, 603,331.23 and 139,380.50

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Solution

The fourth proportional to 402,036.50, 603,331.23 and 139,380.50 is: 209,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,036.50 : 603,331.23 = 139,380.50 : x
  2. Step 2: Convert to fraction form
    402,036.50/603,331.23 = 139,380.50/x
  3. Step 3: Cross multiply
    402,036.50x = 603,331.23 × 139,380.50
  4. Step 4: Simplify right side
    402,036.50x = 84,092,608,503.02
  5. Step 5: Solve for x
    x = 84,092,608,503.02/402,036.50
  6. Step 6: Final answer
    x = 209,166.60

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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.