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Finding the Fourth Proportional to 226,428, 312,390.96 and 135,813.30

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Solution

The fourth proportional to 226,428, 312,390.96 and 135,813.30 is: 187,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,428 : 312,390.96 = 135,813.30 : x
  2. Step 2: Convert to fraction form
    226,428/312,390.96 = 135,813.30/x
  3. Step 3: Cross multiply
    226,428x = 312,390.96 × 135,813.30
  4. Step 4: Simplify right side
    226,428x = 42,426,847,167.77
  5. Step 5: Solve for x
    x = 42,426,847,167.77/226,428
  6. Step 6: Final answer
    x = 187,374.56

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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.