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Finding the Fourth Proportional to 355,643.35, 533,841 and 347,611.76

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Solution

The fourth proportional to 355,643.35, 533,841 and 347,611.76 is: 521,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,643.35 : 533,841 = 347,611.76 : x
  2. Step 2: Convert to fraction form
    355,643.35/533,841 = 347,611.76/x
  3. Step 3: Cross multiply
    355,643.35x = 533,841 × 347,611.76
  4. Step 4: Simplify right side
    355,643.35x = 185,569,410,904.76
  5. Step 5: Solve for x
    x = 185,569,410,904.76/355,643.35
  6. Step 6: Final answer
    x = 521,785.13

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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.