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Finding the Fourth Proportional to 467,842, 645,582.72 and 276,821.92

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Solution

The fourth proportional to 467,842, 645,582.72 and 276,821.92 is: 381,991.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,842 : 645,582.72 = 276,821.92 : x
  2. Step 2: Convert to fraction form
    467,842/645,582.72 = 276,821.92/x
  3. Step 3: Cross multiply
    467,842x = 645,582.72 × 276,821.92
  4. Step 4: Simplify right side
    467,842x = 178,711,448,069.22
  5. Step 5: Solve for x
    x = 178,711,448,069.22/467,842
  6. Step 6: Final answer
    x = 381,991.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.