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Finding the Fourth Proportional to 302,623, 417,479.52 and 195,227.64

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Solution

The fourth proportional to 302,623, 417,479.52 and 195,227.64 is: 269,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,623 : 417,479.52 = 195,227.64 : x
  2. Step 2: Convert to fraction form
    302,623/417,479.52 = 195,227.64/x
  3. Step 3: Cross multiply
    302,623x = 417,479.52 × 195,227.64
  4. Step 4: Simplify right side
    302,623x = 81,503,541,437.93
  5. Step 5: Solve for x
    x = 81,503,541,437.93/302,623
  6. Step 6: Final answer
    x = 269,323.68

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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.