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Finding the Fourth Proportional to 255,220.80, 382,912.80 and 77,761.60

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Solution

The fourth proportional to 255,220.80, 382,912.80 and 77,761.60 is: 116,667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,220.80 : 382,912.80 = 77,761.60 : x
  2. Step 2: Convert to fraction form
    255,220.80/382,912.80 = 77,761.60/x
  3. Step 3: Cross multiply
    255,220.80x = 382,912.80 × 77,761.60
  4. Step 4: Simplify right side
    255,220.80x = 29,775,911,988.48
  5. Step 5: Solve for x
    x = 29,775,911,988.48/255,220.80
  6. Step 6: Final answer
    x = 116,667.26

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1.5x scale

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.