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Finding the Fourth Proportional to 457,749.40, 685,241.70 and 402,453.40

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Solution

The fourth proportional to 457,749.40, 685,241.70 and 402,453.40 is: 602,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,749.40 : 685,241.70 = 402,453.40 : x
  2. Step 2: Convert to fraction form
    457,749.40/685,241.70 = 402,453.40/x
  3. Step 3: Cross multiply
    457,749.40x = 685,241.70 × 402,453.40
  4. Step 4: Simplify right side
    457,749.40x = 275,777,851,986.78
  5. Step 5: Solve for x
    x = 275,777,851,986.78/457,749.40
  6. Step 6: Final answer
    x = 602,464.69

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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.