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Finding the Fourth Proportional to 355,698.30, 533,544.57 and 145,188.57

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Solution

The fourth proportional to 355,698.30, 533,544.57 and 145,188.57 is: 217,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,698.30 : 533,544.57 = 145,188.57 : x
  2. Step 2: Convert to fraction form
    355,698.30/533,544.57 = 145,188.57/x
  3. Step 3: Cross multiply
    355,698.30x = 533,544.57 × 145,188.57
  4. Step 4: Simplify right side
    355,698.30x = 77,464,573,149.56
  5. Step 5: Solve for x
    x = 77,464,573,149.56/355,698.30
  6. Step 6: Final answer
    x = 217,781.68

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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.