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Finding the Fourth Proportional to 306,222.56, 459,356.88 and 81,582.08

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Solution

The fourth proportional to 306,222.56, 459,356.88 and 81,582.08 is: 122,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,222.56 : 459,356.88 = 81,582.08 : x
  2. Step 2: Convert to fraction form
    306,222.56/459,356.88 = 81,582.08/x
  3. Step 3: Cross multiply
    306,222.56x = 459,356.88 × 81,582.08
  4. Step 4: Simplify right side
    306,222.56x = 37,475,289,732.71
  5. Step 5: Solve for x
    x = 37,475,289,732.71/306,222.56
  6. Step 6: Final answer
    x = 122,379.26

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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.