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Finding the Fourth Proportional to 209,952,500.70, 314,928,751.05 and 202,299,750.30

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Solution

The fourth proportional to 209,952,500.70, 314,928,751.05 and 202,299,750.30 is: 303,449,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,500.70 : 314,928,751.05 = 202,299,750.30 : x
  2. Step 2: Convert to fraction form
    209,952,500.70/314,928,751.05 = 202,299,750.30/x
  3. Step 3: Cross multiply
    209,952,500.70x = 314,928,751.05 × 202,299,750.30
  4. Step 4: Simplify right side
    209,952,500.70x = 63,710,007,699,705,872
  5. Step 5: Solve for x
    x = 63,710,007,699,705,872/209,952,500.70
  6. Step 6: Final answer
    x = 303,449,625.45

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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.