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Finding the Fourth Proportional to 262,938.80, 394,505.40 and 105,280.40

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Solution

The fourth proportional to 262,938.80, 394,505.40 and 105,280.40 is: 157,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,938.80 : 394,505.40 = 105,280.40 : x
  2. Step 2: Convert to fraction form
    262,938.80/394,505.40 = 105,280.40/x
  3. Step 3: Cross multiply
    262,938.80x = 394,505.40 × 105,280.40
  4. Step 4: Simplify right side
    262,938.80x = 41,533,686,314.16
  5. Step 5: Solve for x
    x = 41,533,686,314.16/262,938.80
  6. Step 6: Final answer
    x = 157,959.52

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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.