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Finding the Fourth Proportional to 342,380.59, 513,292.61 and 142,849.64

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Solution

The fourth proportional to 342,380.59, 513,292.61 and 142,849.64 is: 214,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,380.59 : 513,292.61 = 142,849.64 : x
  2. Step 2: Convert to fraction form
    342,380.59/513,292.61 = 142,849.64/x
  3. Step 3: Cross multiply
    342,380.59x = 513,292.61 × 142,849.64
  4. Step 4: Simplify right side
    342,380.59x = 73,323,666,193.52
  5. Step 5: Solve for x
    x = 73,323,666,193.52/342,380.59
  6. Step 6: Final answer
    x = 214,158.36

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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.