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Finding the Fourth Proportional to 205,415.20, 307,539.60 and 205,415.20

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Solution

The fourth proportional to 205,415.20, 307,539.60 and 205,415.20 is: 307,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,415.20 : 307,539.60 = 205,415.20 : x
  2. Step 2: Convert to fraction form
    205,415.20/307,539.60 = 205,415.20/x
  3. Step 3: Cross multiply
    205,415.20x = 307,539.60 × 205,415.20
  4. Step 4: Simplify right side
    205,415.20x = 63,173,308,441.92
  5. Step 5: Solve for x
    x = 63,173,308,441.92/205,415.20
  6. Step 6: Final answer
    x = 307,539.60

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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.