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Finding the Fourth Proportional to 306,231.40, 458,051.10 and 274,868.20

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Solution

The fourth proportional to 306,231.40, 458,051.10 and 274,868.20 is: 411,139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,231.40 : 458,051.10 = 274,868.20 : x
  2. Step 2: Convert to fraction form
    306,231.40/458,051.10 = 274,868.20/x
  3. Step 3: Cross multiply
    306,231.40x = 458,051.10 × 274,868.20
  4. Step 4: Simplify right side
    306,231.40x = 125,903,681,365.02
  5. Step 5: Solve for x
    x = 125,903,681,365.02/306,231.40
  6. Step 6: Final answer
    x = 411,139.03

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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.