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Finding the Fourth Proportional to 348,036.80, 522,055.20 and 306,564.80

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Solution

The fourth proportional to 348,036.80, 522,055.20 and 306,564.80 is: 459,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,036.80 : 522,055.20 = 306,564.80 : x
  2. Step 2: Convert to fraction form
    348,036.80/522,055.20 = 306,564.80/x
  3. Step 3: Cross multiply
    348,036.80x = 522,055.20 × 306,564.80
  4. Step 4: Simplify right side
    348,036.80x = 160,043,747,976.96
  5. Step 5: Solve for x
    x = 160,043,747,976.96/348,036.80
  6. Step 6: Final answer
    x = 459,847.20

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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.