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Finding the Fourth Proportional to 374,809.40, 517,241.05 and 205,039.88

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Solution

The fourth proportional to 374,809.40, 517,241.05 and 205,039.88 is: 282,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,809.40 : 517,241.05 = 205,039.88 : x
  2. Step 2: Convert to fraction form
    374,809.40/517,241.05 = 205,039.88/x
  3. Step 3: Cross multiply
    374,809.40x = 517,241.05 × 205,039.88
  4. Step 4: Simplify right side
    374,809.40x = 106,055,042,823.07
  5. Step 5: Solve for x
    x = 106,055,042,823.07/374,809.40
  6. Step 6: Final answer
    x = 282,957.27

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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.