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Finding the Fourth Proportional to 209,988,906.30, 314,983,359.45 and 196,551,978.30

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Solution

The fourth proportional to 209,988,906.30, 314,983,359.45 and 196,551,978.30 is: 294,827,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,988,906.30 : 314,983,359.45 = 196,551,978.30 : x
  2. Step 2: Convert to fraction form
    209,988,906.30/314,983,359.45 = 196,551,978.30/x
  3. Step 3: Cross multiply
    209,988,906.30x = 314,983,359.45 × 196,551,978.30
  4. Step 4: Simplify right side
    209,988,906.30x = 61,910,602,431,477,504
  5. Step 5: Solve for x
    x = 61,910,602,431,477,504/209,988,906.30
  6. Step 6: Final answer
    x = 294,827,967.45

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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.