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Finding the Fourth Proportional to 345,369.78, 518,349.90 and 135,155.34

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Solution

The fourth proportional to 345,369.78, 518,349.90 and 135,155.34 is: 202,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,369.78 : 518,349.90 = 135,155.34 : x
  2. Step 2: Convert to fraction form
    345,369.78/518,349.90 = 135,155.34/x
  3. Step 3: Cross multiply
    345,369.78x = 518,349.90 × 135,155.34
  4. Step 4: Simplify right side
    345,369.78x = 70,057,756,973.47
  5. Step 5: Solve for x
    x = 70,057,756,973.47/345,369.78
  6. Step 6: Final answer
    x = 202,848.54

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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.