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Finding the Fourth Proportional to 338,503.68, 507,672 and 138,880.80

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Solution

The fourth proportional to 338,503.68, 507,672 and 138,880.80 is: 208,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,503.68 : 507,672 = 138,880.80 : x
  2. Step 2: Convert to fraction form
    338,503.68/507,672 = 138,880.80/x
  3. Step 3: Cross multiply
    338,503.68x = 507,672 × 138,880.80
  4. Step 4: Simplify right side
    338,503.68x = 70,505,893,497.60
  5. Step 5: Solve for x
    x = 70,505,893,497.60/338,503.68
  6. Step 6: Final answer
    x = 208,286.93

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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.