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Finding the Fourth Proportional to 338,539.53, 507,811.11 and 101,880.60

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Solution

The fourth proportional to 338,539.53, 507,811.11 and 101,880.60 is: 152,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,539.53 : 507,811.11 = 101,880.60 : x
  2. Step 2: Convert to fraction form
    338,539.53/507,811.11 = 101,880.60/x
  3. Step 3: Cross multiply
    338,539.53x = 507,811.11 × 101,880.60
  4. Step 4: Simplify right side
    338,539.53x = 51,736,100,573.47
  5. Step 5: Solve for x
    x = 51,736,100,573.47/338,539.53
  6. Step 6: Final answer
    x = 152,821.45

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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.