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Finding the Fourth Proportional to 458,081.55, 686,790.09 and 307,949.40

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Solution

The fourth proportional to 458,081.55, 686,790.09 and 307,949.40 is: 461,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,081.55 : 686,790.09 = 307,949.40 : x
  2. Step 2: Convert to fraction form
    458,081.55/686,790.09 = 307,949.40/x
  3. Step 3: Cross multiply
    458,081.55x = 686,790.09 × 307,949.40
  4. Step 4: Simplify right side
    458,081.55x = 211,496,596,141.45
  5. Step 5: Solve for x
    x = 211,496,596,141.45/458,081.55
  6. Step 6: Final answer
    x = 461,700.75

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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.