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Finding the Fourth Proportional to 306,009.40, 458,565.90 and 274,419.40

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Solution

The fourth proportional to 306,009.40, 458,565.90 and 274,419.40 is: 411,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,009.40 : 458,565.90 = 274,419.40 : x
  2. Step 2: Convert to fraction form
    306,009.40/458,565.90 = 274,419.40/x
  3. Step 3: Cross multiply
    306,009.40x = 458,565.90 × 274,419.40
  4. Step 4: Simplify right side
    306,009.40x = 125,839,379,138.46
  5. Step 5: Solve for x
    x = 125,839,379,138.46/306,009.40
  6. Step 6: Final answer
    x = 411,227.17

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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.