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Finding the Fourth Proportional to 356,620.84, 492,104.10 and 205,688.68

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Solution

The fourth proportional to 356,620.84, 492,104.10 and 205,688.68 is: 283,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,620.84 : 492,104.10 = 205,688.68 : x
  2. Step 2: Convert to fraction form
    356,620.84/492,104.10 = 205,688.68/x
  3. Step 3: Cross multiply
    356,620.84x = 492,104.10 × 205,688.68
  4. Step 4: Simplify right side
    356,620.84x = 101,220,242,751.59
  5. Step 5: Solve for x
    x = 101,220,242,751.59/356,620.84
  6. Step 6: Final answer
    x = 283,831.54

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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.