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Finding the Fourth Proportional to 205,287.60, 307,931.40 and 134,428.80

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Solution

The fourth proportional to 205,287.60, 307,931.40 and 134,428.80 is: 201,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,287.60 : 307,931.40 = 134,428.80 : x
  2. Step 2: Convert to fraction form
    205,287.60/307,931.40 = 134,428.80/x
  3. Step 3: Cross multiply
    205,287.60x = 307,931.40 × 134,428.80
  4. Step 4: Simplify right side
    205,287.60x = 41,394,848,584.32
  5. Step 5: Solve for x
    x = 41,394,848,584.32/205,287.60
  6. Step 6: Final answer
    x = 201,643.20

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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.