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Finding the Fourth Proportional to 338,923.20, 507,801.60 and 220,533.60

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Solution

The fourth proportional to 338,923.20, 507,801.60 and 220,533.60 is: 330,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,923.20 : 507,801.60 = 220,533.60 : x
  2. Step 2: Convert to fraction form
    338,923.20/507,801.60 = 220,533.60/x
  3. Step 3: Cross multiply
    338,923.20x = 507,801.60 × 220,533.60
  4. Step 4: Simplify right side
    338,923.20x = 111,987,314,933.76
  5. Step 5: Solve for x
    x = 111,987,314,933.76/338,923.20
  6. Step 6: Final answer
    x = 330,420.92

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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.