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Finding the Fourth Proportional to 386,756.88, 581,024.76 and 274,709.64

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Solution

The fourth proportional to 386,756.88, 581,024.76 and 274,709.64 is: 412,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,756.88 : 581,024.76 = 274,709.64 : x
  2. Step 2: Convert to fraction form
    386,756.88/581,024.76 = 274,709.64/x
  3. Step 3: Cross multiply
    386,756.88x = 581,024.76 × 274,709.64
  4. Step 4: Simplify right side
    386,756.88x = 159,613,102,650.69
  5. Step 5: Solve for x
    x = 159,613,102,650.69/386,756.88
  6. Step 6: Final answer
    x = 412,696.22

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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.