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Finding the Fourth Proportional to 1,285,784, 1,928,676 and 497,816

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Solution

The fourth proportional to 1,285,784, 1,928,676 and 497,816 is: 746,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,784 : 1,928,676 = 497,816 : x
  2. Step 2: Convert to fraction form
    1,285,784/1,928,676 = 497,816/x
  3. Step 3: Cross multiply
    1,285,784x = 1,928,676 × 497,816
  4. Step 4: Simplify right side
    1,285,784x = 960,125,771,616
  5. Step 5: Solve for x
    x = 960,125,771,616/1,285,784
  6. Step 6: Final answer
    x = 746,724

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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.