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Finding the Fourth Proportional to 470,839.20, 705,999.60 and 155,133.60

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Solution

The fourth proportional to 470,839.20, 705,999.60 and 155,133.60 is: 232,615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,839.20 : 705,999.60 = 155,133.60 : x
  2. Step 2: Convert to fraction form
    470,839.20/705,999.60 = 155,133.60/x
  3. Step 3: Cross multiply
    470,839.20x = 705,999.60 × 155,133.60
  4. Step 4: Simplify right side
    470,839.20x = 109,524,259,546.56
  5. Step 5: Solve for x
    x = 109,524,259,546.56/470,839.20
  6. Step 6: Final answer
    x = 232,615.00

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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.