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Finding the Fourth Proportional to 209,952,465.70, 314,928,698.55 and 190,804,843.30

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Solution

The fourth proportional to 209,952,465.70, 314,928,698.55 and 190,804,843.30 is: 286,207,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,465.70 : 314,928,698.55 = 190,804,843.30 : x
  2. Step 2: Convert to fraction form
    209,952,465.70/314,928,698.55 = 190,804,843.30/x
  3. Step 3: Cross multiply
    209,952,465.70x = 314,928,698.55 × 190,804,843.30
  4. Step 4: Simplify right side
    209,952,465.70x = 60,089,920,977,505,696
  5. Step 5: Solve for x
    x = 60,089,920,977,505,696/209,952,465.70
  6. Step 6: Final answer
    x = 286,207,264.95

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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.