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Finding the Fourth Proportional to 209,952,441.60, 314,928,662.40 and 194,646,940.80

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Solution

The fourth proportional to 209,952,441.60, 314,928,662.40 and 194,646,940.80 is: 291,970,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,441.60 : 314,928,662.40 = 194,646,940.80 : x
  2. Step 2: Convert to fraction form
    209,952,441.60/314,928,662.40 = 194,646,940.80/x
  3. Step 3: Cross multiply
    209,952,441.60x = 314,928,662.40 × 194,646,940.80
  4. Step 4: Simplify right side
    209,952,441.60x = 61,299,900,706,395,984
  5. Step 5: Solve for x
    x = 61,299,900,706,395,984/209,952,441.60
  6. Step 6: Final answer
    x = 291,970,411.20

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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.