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Finding the Fourth Proportional to 513,543.40, 768,857.10 and 485,614.60

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Solution

The fourth proportional to 513,543.40, 768,857.10 and 485,614.60 is: 727,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,543.40 : 768,857.10 = 485,614.60 : x
  2. Step 2: Convert to fraction form
    513,543.40/768,857.10 = 485,614.60/x
  3. Step 3: Cross multiply
    513,543.40x = 768,857.10 × 485,614.60
  4. Step 4: Simplify right side
    513,543.40x = 373,368,233,073.66
  5. Step 5: Solve for x
    x = 373,368,233,073.66/513,543.40
  6. Step 6: Final answer
    x = 727,043.19

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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.