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Finding the Fourth Proportional to 472,078.52, 651,460.14 and 257,220.36

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Solution

The fourth proportional to 472,078.52, 651,460.14 and 257,220.36 is: 354,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,078.52 : 651,460.14 = 257,220.36 : x
  2. Step 2: Convert to fraction form
    472,078.52/651,460.14 = 257,220.36/x
  3. Step 3: Cross multiply
    472,078.52x = 651,460.14 × 257,220.36
  4. Step 4: Simplify right side
    472,078.52x = 167,568,811,736.45
  5. Step 5: Solve for x
    x = 167,568,811,736.45/472,078.52
  6. Step 6: Final answer
    x = 354,959.62

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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.