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Finding the Fourth Proportional to 209,952,309.60, 314,928,464.40 and 133,613,762.40

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Solution

The fourth proportional to 209,952,309.60, 314,928,464.40 and 133,613,762.40 is: 200,420,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,309.60 : 314,928,464.40 = 133,613,762.40 : x
  2. Step 2: Convert to fraction form
    209,952,309.60/314,928,464.40 = 133,613,762.40/x
  3. Step 3: Cross multiply
    209,952,309.60x = 314,928,464.40 × 133,613,762.40
  4. Step 4: Simplify right side
    209,952,309.60x = 42,078,777,015,338,456
  5. Step 5: Solve for x
    x = 42,078,777,015,338,456/209,952,309.60
  6. Step 6: Final answer
    x = 200,420,643.60

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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.