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Finding the Fourth Proportional to 457,684.80, 686,656.80 and 142,173.60

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Solution

The fourth proportional to 457,684.80, 686,656.80 and 142,173.60 is: 213,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,684.80 : 686,656.80 = 142,173.60 : x
  2. Step 2: Convert to fraction form
    457,684.80/686,656.80 = 142,173.60/x
  3. Step 3: Cross multiply
    457,684.80x = 686,656.80 × 142,173.60
  4. Step 4: Simplify right side
    457,684.80x = 97,624,469,220.48
  5. Step 5: Solve for x
    x = 97,624,469,220.48/457,684.80
  6. Step 6: Final answer
    x = 213,300.66

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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.