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Finding the Fourth Proportional to 750,101, 1,035,131.46 and 405,929.48

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Solution

The fourth proportional to 750,101, 1,035,131.46 and 405,929.48 is: 560,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,101 : 1,035,131.46 = 405,929.48 : x
  2. Step 2: Convert to fraction form
    750,101/1,035,131.46 = 405,929.48/x
  3. Step 3: Cross multiply
    750,101x = 1,035,131.46 × 405,929.48
  4. Step 4: Simplify right side
    750,101x = 420,190,375,289.44
  5. Step 5: Solve for x
    x = 420,190,375,289.44/750,101
  6. Step 6: Final answer
    x = 560,178.40

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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.