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Finding the Fourth Proportional to 457,203, 630,940.14 and 256,003.32

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Solution

The fourth proportional to 457,203, 630,940.14 and 256,003.32 is: 353,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,203 : 630,940.14 = 256,003.32 : x
  2. Step 2: Convert to fraction form
    457,203/630,940.14 = 256,003.32/x
  3. Step 3: Cross multiply
    457,203x = 630,940.14 × 256,003.32
  4. Step 4: Simplify right side
    457,203x = 161,522,770,561.27
  5. Step 5: Solve for x
    x = 161,522,770,561.27/457,203
  6. Step 6: Final answer
    x = 353,284.58

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1.5x scale

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.