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Finding the Fourth Proportional to 475,784, 656,581.92 and 263,816

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Solution

The fourth proportional to 475,784, 656,581.92 and 263,816 is: 364,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,784 : 656,581.92 = 263,816 : x
  2. Step 2: Convert to fraction form
    475,784/656,581.92 = 263,816/x
  3. Step 3: Cross multiply
    475,784x = 656,581.92 × 263,816
  4. Step 4: Simplify right side
    475,784x = 173,216,815,806.72
  5. Step 5: Solve for x
    x = 173,216,815,806.72/475,784
  6. Step 6: Final answer
    x = 364,066.08

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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.