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Finding the Fourth Proportional to 651,344.68, 978,513.90 and 462,274.48

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Solution

The fourth proportional to 651,344.68, 978,513.90 and 462,274.48 is: 694,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,344.68 : 978,513.90 = 462,274.48 : x
  2. Step 2: Convert to fraction form
    651,344.68/978,513.90 = 462,274.48/x
  3. Step 3: Cross multiply
    651,344.68x = 978,513.90 × 462,274.48
  4. Step 4: Simplify right side
    651,344.68x = 452,342,004,295.27
  5. Step 5: Solve for x
    x = 452,342,004,295.27/651,344.68
  6. Step 6: Final answer
    x = 694,474.09

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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.