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Finding the Fourth Proportional to 923,862, 1,274,933.40 and 499,926

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Solution

The fourth proportional to 923,862, 1,274,933.40 and 499,926 is: 689,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,862 : 1,274,933.40 = 499,926 : x
  2. Step 2: Convert to fraction form
    923,862/1,274,933.40 = 499,926/x
  3. Step 3: Cross multiply
    923,862x = 1,274,933.40 × 499,926
  4. Step 4: Simplify right side
    923,862x = 637,372,354,928.40
  5. Step 5: Solve for x
    x = 637,372,354,928.40/923,862
  6. Step 6: Final answer
    x = 689,899.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.