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Finding the Fourth Proportional to 513,533.63, 770,000.92 and 213,654.85

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Solution

The fourth proportional to 513,533.63, 770,000.92 and 213,654.85 is: 320,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,533.63 : 770,000.92 = 213,654.85 : x
  2. Step 2: Convert to fraction form
    513,533.63/770,000.92 = 213,654.85/x
  3. Step 3: Cross multiply
    513,533.63x = 770,000.92 × 213,654.85
  4. Step 4: Simplify right side
    513,533.63x = 164,514,431,062.46
  5. Step 5: Solve for x
    x = 164,514,431,062.46/513,533.63
  6. Step 6: Final answer
    x = 320,357.66

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1.5x scale

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.