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Finding the Fourth Proportional to 458,071.49, 686,775.09 and 307,939.42

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Solution

The fourth proportional to 458,071.49, 686,775.09 and 307,939.42 is: 461,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,071.49 : 686,775.09 = 307,939.42 : x
  2. Step 2: Convert to fraction form
    458,071.49/686,775.09 = 307,939.42/x
  3. Step 3: Cross multiply
    458,071.49x = 686,775.09 × 307,939.42
  4. Step 4: Simplify right side
    458,071.49x = 211,485,122,885.05
  5. Step 5: Solve for x
    x = 211,485,122,885.05/458,071.49
  6. Step 6: Final answer
    x = 461,685.84

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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.