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Finding the Fourth Proportional to 304,408.49, 456,615.81 and 135,937.40

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Solution

The fourth proportional to 304,408.49, 456,615.81 and 135,937.40 is: 203,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,408.49 : 456,615.81 = 135,937.40 : x
  2. Step 2: Convert to fraction form
    304,408.49/456,615.81 = 135,937.40/x
  3. Step 3: Cross multiply
    304,408.49x = 456,615.81 × 135,937.40
  4. Step 4: Simplify right side
    304,408.49x = 62,071,163,727.21
  5. Step 5: Solve for x
    x = 62,071,163,727.21/304,408.49
  6. Step 6: Final answer
    x = 203,907.47

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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.