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Finding the Fourth Proportional to 458,032.56, 686,716.68 and 307,900.47

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Solution

The fourth proportional to 458,032.56, 686,716.68 and 307,900.47 is: 461,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,032.56 : 686,716.68 = 307,900.47 : x
  2. Step 2: Convert to fraction form
    458,032.56/686,716.68 = 307,900.47/x
  3. Step 3: Cross multiply
    458,032.56x = 686,716.68 × 307,900.47
  4. Step 4: Simplify right side
    458,032.56x = 211,440,392,258.65
  5. Step 5: Solve for x
    x = 211,440,392,258.65/458,032.56
  6. Step 6: Final answer
    x = 461,627.43

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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.