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Finding the Fourth Proportional to 457,516.80, 686,404.80 and 142,005.60

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Solution

The fourth proportional to 457,516.80, 686,404.80 and 142,005.60 is: 213,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,516.80 : 686,404.80 = 142,005.60 : x
  2. Step 2: Convert to fraction form
    457,516.80/686,404.80 = 142,005.60/x
  3. Step 3: Cross multiply
    457,516.80x = 686,404.80 × 142,005.60
  4. Step 4: Simplify right side
    457,516.80x = 97,473,325,466.88
  5. Step 5: Solve for x
    x = 97,473,325,466.88/457,516.80
  6. Step 6: Final answer
    x = 213,048.63

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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.