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Finding the Fourth Proportional to 471,986.69, 651,340.49 and 257,128.52

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Solution

The fourth proportional to 471,986.69, 651,340.49 and 257,128.52 is: 354,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,986.69 : 651,340.49 = 257,128.52 : x
  2. Step 2: Convert to fraction form
    471,986.69/651,340.49 = 257,128.52/x
  3. Step 3: Cross multiply
    471,986.69x = 651,340.49 × 257,128.52
  4. Step 4: Simplify right side
    471,986.69x = 167,478,211,667.43
  5. Step 5: Solve for x
    x = 167,478,211,667.43/471,986.69
  6. Step 6: Final answer
    x = 354,836.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.