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Finding the Fourth Proportional to 342,376.83, 513,287.01 and 142,845.90

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Solution

The fourth proportional to 342,376.83, 513,287.01 and 142,845.90 is: 214,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,376.83 : 513,287.01 = 142,845.90 : x
  2. Step 2: Convert to fraction form
    342,376.83/513,287.01 = 142,845.90/x
  3. Step 3: Cross multiply
    342,376.83x = 513,287.01 × 142,845.90
  4. Step 4: Simplify right side
    342,376.83x = 73,320,944,901.76
  5. Step 5: Solve for x
    x = 73,320,944,901.76/342,376.83
  6. Step 6: Final answer
    x = 214,152.77

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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.