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Finding the Fourth Proportional to 270,490.60, 405,735.90 and 83,477.80

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Solution

The fourth proportional to 270,490.60, 405,735.90 and 83,477.80 is: 125,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,490.60 : 405,735.90 = 83,477.80 : x
  2. Step 2: Convert to fraction form
    270,490.60/405,735.90 = 83,477.80/x
  3. Step 3: Cross multiply
    270,490.60x = 405,735.90 × 83,477.80
  4. Step 4: Simplify right side
    270,490.60x = 33,869,940,313.02
  5. Step 5: Solve for x
    x = 33,869,940,313.02/270,490.60
  6. Step 6: Final answer
    x = 125,216.70

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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.