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Finding the Fourth Proportional to 310,604.04, 465,889.32 and 100,242

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Solution

The fourth proportional to 310,604.04, 465,889.32 and 100,242 is: 150,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,604.04 : 465,889.32 = 100,242 : x
  2. Step 2: Convert to fraction form
    310,604.04/465,889.32 = 100,242/x
  3. Step 3: Cross multiply
    310,604.04x = 465,889.32 × 100,242
  4. Step 4: Simplify right side
    310,604.04x = 46,701,677,215.44
  5. Step 5: Solve for x
    x = 46,701,677,215.44/310,604.04
  6. Step 6: Final answer
    x = 150,357.60

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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.