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Finding the Fourth Proportional to 340,809.60, 511,209.60 and 153,820.80

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Solution

The fourth proportional to 340,809.60, 511,209.60 and 153,820.80 is: 230,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,809.60 : 511,209.60 = 153,820.80 : x
  2. Step 2: Convert to fraction form
    340,809.60/511,209.60 = 153,820.80/x
  3. Step 3: Cross multiply
    340,809.60x = 511,209.60 × 153,820.80
  4. Step 4: Simplify right side
    340,809.60x = 78,634,669,639.68
  5. Step 5: Solve for x
    x = 78,634,669,639.68/340,809.60
  6. Step 6: Final answer
    x = 230,729.03

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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.