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Finding the Fourth Proportional to 205,087.60, 286,422.80 and 205,087.60

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Solution

The fourth proportional to 205,087.60, 286,422.80 and 205,087.60 is: 286,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,087.60 : 286,422.80 = 205,087.60 : x
  2. Step 2: Convert to fraction form
    205,087.60/286,422.80 = 205,087.60/x
  3. Step 3: Cross multiply
    205,087.60x = 286,422.80 × 205,087.60
  4. Step 4: Simplify right side
    205,087.60x = 58,741,764,637.28
  5. Step 5: Solve for x
    x = 58,741,764,637.28/205,087.60
  6. Step 6: Final answer
    x = 286,422.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.