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Finding the Fourth Proportional to 217,802.88, 300,669 and 145,326.24

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Solution

The fourth proportional to 217,802.88, 300,669 and 145,326.24 is: 200,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,802.88 : 300,669 = 145,326.24 : x
  2. Step 2: Convert to fraction form
    217,802.88/300,669 = 145,326.24/x
  3. Step 3: Cross multiply
    217,802.88x = 300,669 × 145,326.24
  4. Step 4: Simplify right side
    217,802.88x = 43,695,095,254.56
  5. Step 5: Solve for x
    x = 43,695,095,254.56/217,802.88
  6. Step 6: Final answer
    x = 200,617.62

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1.5x scale

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.