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Finding the Fourth Proportional to 496,090, 744,135.04 and 145,882

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Solution

The fourth proportional to 496,090, 744,135.04 and 145,882 is: 218,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,090 : 744,135.04 = 145,882 : x
  2. Step 2: Convert to fraction form
    496,090/744,135.04 = 145,882/x
  3. Step 3: Cross multiply
    496,090x = 744,135.04 × 145,882
  4. Step 4: Simplify right side
    496,090x = 108,555,907,905.28
  5. Step 5: Solve for x
    x = 108,555,907,905.28/496,090
  6. Step 6: Final answer
    x = 218,823.01

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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.