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Finding the Fourth Proportional to 357,100.78, 492,798.77 and 195,965.95

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Solution

The fourth proportional to 357,100.78, 492,798.77 and 195,965.95 is: 270,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,100.78 : 492,798.77 = 195,965.95 : x
  2. Step 2: Convert to fraction form
    357,100.78/492,798.77 = 195,965.95/x
  3. Step 3: Cross multiply
    357,100.78x = 492,798.77 × 195,965.95
  4. Step 4: Simplify right side
    357,100.78x = 96,571,775,678.06
  5. Step 5: Solve for x
    x = 96,571,775,678.06/357,100.78
  6. Step 6: Final answer
    x = 270,432.84

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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.