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Finding the Fourth Proportional to 457,857.91, 632,140.37 and 294,587.43

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Solution

The fourth proportional to 457,857.91, 632,140.37 and 294,587.43 is: 406,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,857.91 : 632,140.37 = 294,587.43 : x
  2. Step 2: Convert to fraction form
    457,857.91/632,140.37 = 294,587.43/x
  3. Step 3: Cross multiply
    457,857.91x = 632,140.37 × 294,587.43
  4. Step 4: Simplify right side
    457,857.91x = 186,220,606,997.55
  5. Step 5: Solve for x
    x = 186,220,606,997.55/457,857.91
  6. Step 6: Final answer
    x = 406,721.39

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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.