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Finding the Fourth Proportional to 340,829.60, 511,239.60 and 153,840.80

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Solution

The fourth proportional to 340,829.60, 511,239.60 and 153,840.80 is: 230,759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,829.60 : 511,239.60 = 153,840.80 : x
  2. Step 2: Convert to fraction form
    340,829.60/511,239.60 = 153,840.80/x
  3. Step 3: Cross multiply
    340,829.60x = 511,239.60 × 153,840.80
  4. Step 4: Simplify right side
    340,829.60x = 78,649,509,055.68
  5. Step 5: Solve for x
    x = 78,649,509,055.68/340,829.60
  6. Step 6: Final answer
    x = 230,759.03

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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.