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Finding the Fourth Proportional to 457,676.40, 685,132.20 and 402,380.40

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Solution

The fourth proportional to 457,676.40, 685,132.20 and 402,380.40 is: 602,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,676.40 : 685,132.20 = 402,380.40 : x
  2. Step 2: Convert to fraction form
    457,676.40/685,132.20 = 402,380.40/x
  3. Step 3: Cross multiply
    457,676.40x = 685,132.20 × 402,380.40
  4. Step 4: Simplify right side
    457,676.40x = 275,683,768,688.88
  5. Step 5: Solve for x
    x = 275,683,768,688.88/457,676.40
  6. Step 6: Final answer
    x = 602,355.22

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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.