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Finding the Fourth Proportional to 457,841.10, 686,860.14 and 154,265.46

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Solution

The fourth proportional to 457,841.10, 686,860.14 and 154,265.46 is: 231,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,841.10 : 686,860.14 = 154,265.46 : x
  2. Step 2: Convert to fraction form
    457,841.10/686,860.14 = 154,265.46/x
  3. Step 3: Cross multiply
    457,841.10x = 686,860.14 × 154,265.46
  4. Step 4: Simplify right side
    457,841.10x = 105,958,795,452.76
  5. Step 5: Solve for x
    x = 105,958,795,452.76/457,841.10
  6. Step 6: Final answer
    x = 231,431.38

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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.