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Finding the Fourth Proportional to 306,035.20, 459,052.80 and 260,764.30

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Solution

The fourth proportional to 306,035.20, 459,052.80 and 260,764.30 is: 391,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,035.20 : 459,052.80 = 260,764.30 : x
  2. Step 2: Convert to fraction form
    306,035.20/459,052.80 = 260,764.30/x
  3. Step 3: Cross multiply
    306,035.20x = 459,052.80 × 260,764.30
  4. Step 4: Simplify right side
    306,035.20x = 119,704,582,055.04
  5. Step 5: Solve for x
    x = 119,704,582,055.04/306,035.20
  6. Step 6: Final answer
    x = 391,146.45

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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.