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Finding the Fourth Proportional to 306,301.60, 458,415.60 and 268,976.80

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Solution

The fourth proportional to 306,301.60, 458,415.60 and 268,976.80 is: 402,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,301.60 : 458,415.60 = 268,976.80 : x
  2. Step 2: Convert to fraction form
    306,301.60/458,415.60 = 268,976.80/x
  3. Step 3: Cross multiply
    306,301.60x = 458,415.60 × 268,976.80
  4. Step 4: Simplify right side
    306,301.60x = 123,303,161,158.08
  5. Step 5: Solve for x
    x = 123,303,161,158.08/306,301.60
  6. Step 6: Final answer
    x = 402,554.74

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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.