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Finding the Fourth Proportional to 628,184, 942,578.40 and 312,668.48

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Solution

The fourth proportional to 628,184, 942,578.40 and 312,668.48 is: 469,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,184 : 942,578.40 = 312,668.48 : x
  2. Step 2: Convert to fraction form
    628,184/942,578.40 = 312,668.48/x
  3. Step 3: Cross multiply
    628,184x = 942,578.40 × 312,668.48
  4. Step 4: Simplify right side
    628,184x = 294,714,555,608.83
  5. Step 5: Solve for x
    x = 294,714,555,608.83/628,184
  6. Step 6: Final answer
    x = 469,153.23

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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.