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Finding the Fourth Proportional to 355,319.30, 533,270.55 and 343,655.30

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Solution

The fourth proportional to 355,319.30, 533,270.55 and 343,655.30 is: 515,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,319.30 : 533,270.55 = 343,655.30 : x
  2. Step 2: Convert to fraction form
    355,319.30/533,270.55 = 343,655.30/x
  3. Step 3: Cross multiply
    355,319.30x = 533,270.55 × 343,655.30
  4. Step 4: Simplify right side
    355,319.30x = 183,261,250,841.42
  5. Step 5: Solve for x
    x = 183,261,250,841.42/355,319.30
  6. Step 6: Final answer
    x = 515,764.98

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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.