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Finding the Fourth Proportional to 209,958,978.40, 314,938,467.60 and 119,259,714.40

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Solution

The fourth proportional to 209,958,978.40, 314,938,467.60 and 119,259,714.40 is: 178,889,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,958,978.40 : 314,938,467.60 = 119,259,714.40 : x
  2. Step 2: Convert to fraction form
    209,958,978.40/314,938,467.60 = 119,259,714.40/x
  3. Step 3: Cross multiply
    209,958,978.40x = 314,938,467.60 × 119,259,714.40
  4. Step 4: Simplify right side
    209,958,978.40x = 37,559,471,699,549,656
  5. Step 5: Solve for x
    x = 37,559,471,699,549,656/209,958,978.40
  6. Step 6: Final answer
    x = 178,889,571.60

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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.