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Finding the Fourth Proportional to 310,255.51, 465,384.49 and 205,051.09

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Solution

The fourth proportional to 310,255.51, 465,384.49 and 205,051.09 is: 307,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,255.51 : 465,384.49 = 205,051.09 : x
  2. Step 2: Convert to fraction form
    310,255.51/465,384.49 = 205,051.09/x
  3. Step 3: Cross multiply
    310,255.51x = 465,384.49 × 205,051.09
  4. Step 4: Simplify right side
    310,255.51x = 95,427,594,831.21
  5. Step 5: Solve for x
    x = 95,427,594,831.21/310,255.51
  6. Step 6: Final answer
    x = 307,577.44

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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.