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Finding the Fourth Proportional to 227,862, 314,476.28 and 137,263.70

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Solution

The fourth proportional to 227,862, 314,476.28 and 137,263.70 is: 189,439.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,862 : 314,476.28 = 137,263.70 : x
  2. Step 2: Convert to fraction form
    227,862/314,476.28 = 137,263.70/x
  3. Step 3: Cross multiply
    227,862x = 314,476.28 × 137,263.70
  4. Step 4: Simplify right side
    227,862x = 43,166,175,496.34
  5. Step 5: Solve for x
    x = 43,166,175,496.34/227,862
  6. Step 6: Final answer
    x = 189,439.99

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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.