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Finding the Fourth Proportional to 345,860.96, 519,024.80 and 135,472.64

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Solution

The fourth proportional to 345,860.96, 519,024.80 and 135,472.64 is: 203,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,860.96 : 519,024.80 = 135,472.64 : x
  2. Step 2: Convert to fraction form
    345,860.96/519,024.80 = 135,472.64/x
  3. Step 3: Cross multiply
    345,860.96x = 519,024.80 × 135,472.64
  4. Step 4: Simplify right side
    345,860.96x = 70,313,659,881.47
  5. Step 5: Solve for x
    x = 70,313,659,881.47/345,860.96
  6. Step 6: Final answer
    x = 203,300.37

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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.