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Finding the Fourth Proportional to 404,742.80, 606,595.80 and 310,782.80

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Solution

The fourth proportional to 404,742.80, 606,595.80 and 310,782.80 is: 465,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,742.80 : 606,595.80 = 310,782.80 : x
  2. Step 2: Convert to fraction form
    404,742.80/606,595.80 = 310,782.80/x
  3. Step 3: Cross multiply
    404,742.80x = 606,595.80 × 310,782.80
  4. Step 4: Simplify right side
    404,742.80x = 188,519,541,192.24
  5. Step 5: Solve for x
    x = 188,519,541,192.24/404,742.80
  6. Step 6: Final answer
    x = 465,776.15

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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.