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Finding the Fourth Proportional to 307,933.76, 424,924.34 and 171,957.08

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Solution

The fourth proportional to 307,933.76, 424,924.34 and 171,957.08 is: 237,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,933.76 : 424,924.34 = 171,957.08 : x
  2. Step 2: Convert to fraction form
    307,933.76/424,924.34 = 171,957.08/x
  3. Step 3: Cross multiply
    307,933.76x = 424,924.34 × 171,957.08
  4. Step 4: Simplify right side
    307,933.76x = 73,068,748,727.33
  5. Step 5: Solve for x
    x = 73,068,748,727.33/307,933.76
  6. Step 6: Final answer
    x = 237,287.23

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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.