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Finding the Fourth Proportional to 257,397.21, 385,867.40 and 97,361.39

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Solution

The fourth proportional to 257,397.21, 385,867.40 and 97,361.39 is: 145,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,397.21 : 385,867.40 = 97,361.39 : x
  2. Step 2: Convert to fraction form
    257,397.21/385,867.40 = 97,361.39/x
  3. Step 3: Cross multiply
    257,397.21x = 385,867.40 × 97,361.39
  4. Step 4: Simplify right side
    257,397.21x = 37,568,586,897.55
  5. Step 5: Solve for x
    x = 37,568,586,897.55/257,397.21
  6. Step 6: Final answer
    x = 145,955.69

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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.