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Finding the Fourth Proportional to 306,095.78, 422,409.93 and 171,959.78

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Solution

The fourth proportional to 306,095.78, 422,409.93 and 171,959.78 is: 237,303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,095.78 : 422,409.93 = 171,959.78 : x
  2. Step 2: Convert to fraction form
    306,095.78/422,409.93 = 171,959.78/x
  3. Step 3: Cross multiply
    306,095.78x = 422,409.93 × 171,959.78
  4. Step 4: Simplify right side
    306,095.78x = 72,637,518,632.62
  5. Step 5: Solve for x
    x = 72,637,518,632.62/306,095.78
  6. Step 6: Final answer
    x = 237,303.23

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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.