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Finding the Fourth Proportional to 190,948.40, 286,728.60 and 151,830.80

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Solution

The fourth proportional to 190,948.40, 286,728.60 and 151,830.80 is: 227,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,948.40 : 286,728.60 = 151,830.80 : x
  2. Step 2: Convert to fraction form
    190,948.40/286,728.60 = 151,830.80/x
  3. Step 3: Cross multiply
    190,948.40x = 286,728.60 × 151,830.80
  4. Step 4: Simplify right side
    190,948.40x = 43,534,232,720.88
  5. Step 5: Solve for x
    x = 43,534,232,720.88/190,948.40
  6. Step 6: Final answer
    x = 227,989.51

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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.