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Finding the Fourth Proportional to 340,121.52, 510,410.70 and 234,751.86

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Solution

The fourth proportional to 340,121.52, 510,410.70 and 234,751.86 is: 352,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,121.52 : 510,410.70 = 234,751.86 : x
  2. Step 2: Convert to fraction form
    340,121.52/510,410.70 = 234,751.86/x
  3. Step 3: Cross multiply
    340,121.52x = 510,410.70 × 234,751.86
  4. Step 4: Simplify right side
    340,121.52x = 119,819,861,188.90
  5. Step 5: Solve for x
    x = 119,819,861,188.90/340,121.52
  6. Step 6: Final answer
    x = 352,285.45

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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.