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Finding the Fourth Proportional to 459,163.60, 688,745.40 and 299,731.30

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Solution

The fourth proportional to 459,163.60, 688,745.40 and 299,731.30 is: 449,596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,163.60 : 688,745.40 = 299,731.30 : x
  2. Step 2: Convert to fraction form
    459,163.60/688,745.40 = 299,731.30/x
  3. Step 3: Cross multiply
    459,163.60x = 688,745.40 × 299,731.30
  4. Step 4: Simplify right side
    459,163.60x = 206,438,554,111.02
  5. Step 5: Solve for x
    x = 206,438,554,111.02/459,163.60
  6. Step 6: Final answer
    x = 449,596.95

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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.