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Finding the Fourth Proportional to 606,290.02, 909,184.81 and 206,963

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Solution

The fourth proportional to 606,290.02, 909,184.81 and 206,963 is: 310,359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,290.02 : 909,184.81 = 206,963 : x
  2. Step 2: Convert to fraction form
    606,290.02/909,184.81 = 206,963/x
  3. Step 3: Cross multiply
    606,290.02x = 909,184.81 × 206,963
  4. Step 4: Simplify right side
    606,290.02x = 188,167,615,832.03
  5. Step 5: Solve for x
    x = 188,167,615,832.03/606,290.02
  6. Step 6: Final answer
    x = 310,359.08

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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.