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Finding the Fourth Proportional to 457,304.40, 685,709.15 and 363,140.37

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Solution

The fourth proportional to 457,304.40, 685,709.15 and 363,140.37 is: 544,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,304.40 : 685,709.15 = 363,140.37 : x
  2. Step 2: Convert to fraction form
    457,304.40/685,709.15 = 363,140.37/x
  3. Step 3: Cross multiply
    457,304.40x = 685,709.15 × 363,140.37
  4. Step 4: Simplify right side
    457,304.40x = 249,008,672,627.68
  5. Step 5: Solve for x
    x = 249,008,672,627.68/457,304.40
  6. Step 6: Final answer
    x = 544,514.05

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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.