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Finding the Fourth Proportional to 409,273.40, 613,910.10 and 390,902.60

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Solution

The fourth proportional to 409,273.40, 613,910.10 and 390,902.60 is: 586,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,273.40 : 613,910.10 = 390,902.60 : x
  2. Step 2: Convert to fraction form
    409,273.40/613,910.10 = 390,902.60/x
  3. Step 3: Cross multiply
    409,273.40x = 613,910.10 × 390,902.60
  4. Step 4: Simplify right side
    409,273.40x = 239,979,054,256.26
  5. Step 5: Solve for x
    x = 239,979,054,256.26/409,273.40
  6. Step 6: Final answer
    x = 586,353.90

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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.