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Finding the Fourth Proportional to 338,737.70, 507,663.60 and 138,824.02

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Solution

The fourth proportional to 338,737.70, 507,663.60 and 138,824.02 is: 208,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,737.70 : 507,663.60 = 138,824.02 : x
  2. Step 2: Convert to fraction form
    338,737.70/507,663.60 = 138,824.02/x
  3. Step 3: Cross multiply
    338,737.70x = 507,663.60 × 138,824.02
  4. Step 4: Simplify right side
    338,737.70x = 70,475,901,759.67
  5. Step 5: Solve for x
    x = 70,475,901,759.67/338,737.70
  6. Step 6: Final answer
    x = 208,054.50

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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.