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Finding the Fourth Proportional to 577,075.36, 796,405.20 and 318,946.78

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Solution

The fourth proportional to 577,075.36, 796,405.20 and 318,946.78 is: 440,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,075.36 : 796,405.20 = 318,946.78 : x
  2. Step 2: Convert to fraction form
    577,075.36/796,405.20 = 318,946.78/x
  3. Step 3: Cross multiply
    577,075.36x = 796,405.20 × 318,946.78
  4. Step 4: Simplify right side
    577,075.36x = 254,010,874,115.26
  5. Step 5: Solve for x
    x = 254,010,874,115.26/577,075.36
  6. Step 6: Final answer
    x = 440,169.33

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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.