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Finding the Fourth Proportional to 457,716.67, 686,094.39 and 154,005.39

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Solution

The fourth proportional to 457,716.67, 686,094.39 and 154,005.39 is: 230,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,716.67 : 686,094.39 = 154,005.39 : x
  2. Step 2: Convert to fraction form
    457,716.67/686,094.39 = 154,005.39/x
  3. Step 3: Cross multiply
    457,716.67x = 686,094.39 × 154,005.39
  4. Step 4: Simplify right side
    457,716.67x = 105,662,234,108.76
  5. Step 5: Solve for x
    x = 105,662,234,108.76/457,716.67
  6. Step 6: Final answer
    x = 230,846.38

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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.