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Finding the Fourth Proportional to 458,055.60, 686,046.60 and 271,431.60

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Solution

The fourth proportional to 458,055.60, 686,046.60 and 271,431.60 is: 406,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,055.60 : 686,046.60 = 271,431.60 : x
  2. Step 2: Convert to fraction form
    458,055.60/686,046.60 = 271,431.60/x
  3. Step 3: Cross multiply
    458,055.60x = 686,046.60 × 271,431.60
  4. Step 4: Simplify right side
    458,055.60x = 186,214,726,312.56
  5. Step 5: Solve for x
    x = 186,214,726,312.56/458,055.60
  6. Step 6: Final answer
    x = 406,533.02

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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.