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Finding the Fourth Proportional to 209,952,672.80, 314,929,009.20 and 193,371,713.60

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Solution

The fourth proportional to 209,952,672.80, 314,929,009.20 and 193,371,713.60 is: 290,057,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,672.80 : 314,929,009.20 = 193,371,713.60 : x
  2. Step 2: Convert to fraction form
    209,952,672.80/314,929,009.20 = 193,371,713.60/x
  3. Step 3: Cross multiply
    209,952,672.80x = 314,929,009.20 × 193,371,713.60
  4. Step 4: Simplify right side
    209,952,672.80x = 60,898,362,171,354,160
  5. Step 5: Solve for x
    x = 60,898,362,171,354,160/209,952,672.80
  6. Step 6: Final answer
    x = 290,057,570.40

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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.