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Finding the Fourth Proportional to 397,685.08, 548,829.03 and 227,930.14

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Solution

The fourth proportional to 397,685.08, 548,829.03 and 227,930.14 is: 314,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,685.08 : 548,829.03 = 227,930.14 : x
  2. Step 2: Convert to fraction form
    397,685.08/548,829.03 = 227,930.14/x
  3. Step 3: Cross multiply
    397,685.08x = 548,829.03 × 227,930.14
  4. Step 4: Simplify right side
    397,685.08x = 125,094,677,643.96
  5. Step 5: Solve for x
    x = 125,094,677,643.96/397,685.08
  6. Step 6: Final answer
    x = 314,557.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.