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Finding the Fourth Proportional to 393,704.55, 543,312.14 and 214,856.55

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Solution

The fourth proportional to 393,704.55, 543,312.14 and 214,856.55 is: 296,501.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,704.55 : 543,312.14 = 214,856.55 : x
  2. Step 2: Convert to fraction form
    393,704.55/543,312.14 = 214,856.55/x
  3. Step 3: Cross multiply
    393,704.55x = 543,312.14 × 214,856.55
  4. Step 4: Simplify right side
    393,704.55x = 116,734,170,899.23
  5. Step 5: Solve for x
    x = 116,734,170,899.23/393,704.55
  6. Step 6: Final answer
    x = 296,501.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.