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Finding the Fourth Proportional to 457,740.78, 686,611.23 and 142,197.66

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Solution

The fourth proportional to 457,740.78, 686,611.23 and 142,197.66 is: 213,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,740.78 : 686,611.23 = 142,197.66 : x
  2. Step 2: Convert to fraction form
    457,740.78/686,611.23 = 142,197.66/x
  3. Step 3: Cross multiply
    457,740.78x = 686,611.23 × 142,197.66
  4. Step 4: Simplify right side
    457,740.78x = 97,634,510,235.72
  5. Step 5: Solve for x
    x = 97,634,510,235.72/457,740.78
  6. Step 6: Final answer
    x = 213,296.51

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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.