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Finding the Fourth Proportional to 312,926.54, 469,202.34 and 99,602.30

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Solution

The fourth proportional to 312,926.54, 469,202.34 and 99,602.30 is: 149,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,926.54 : 469,202.34 = 99,602.30 : x
  2. Step 2: Convert to fraction form
    312,926.54/469,202.34 = 99,602.30/x
  3. Step 3: Cross multiply
    312,926.54x = 469,202.34 × 99,602.30
  4. Step 4: Simplify right side
    312,926.54x = 46,733,632,229.38
  5. Step 5: Solve for x
    x = 46,733,632,229.38/312,926.54
  6. Step 6: Final answer
    x = 149,343.78

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1.5x scale

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.