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Finding the Fourth Proportional to 577,470.72, 796,784.40 and 322,813.20

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Solution

The fourth proportional to 577,470.72, 796,784.40 and 322,813.20 is: 445,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,470.72 : 796,784.40 = 322,813.20 : x
  2. Step 2: Convert to fraction form
    577,470.72/796,784.40 = 322,813.20/x
  3. Step 3: Cross multiply
    577,470.72x = 796,784.40 × 322,813.20
  4. Step 4: Simplify right side
    577,470.72x = 257,212,521,874.08
  5. Step 5: Solve for x
    x = 257,212,521,874.08/577,470.72
  6. Step 6: Final answer
    x = 445,412.23

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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.