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Finding the Fourth Proportional to 209,952,203.80, 314,928,305.70 and 145,328,978.20

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Solution

The fourth proportional to 209,952,203.80, 314,928,305.70 and 145,328,978.20 is: 217,993,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,203.80 : 314,928,305.70 = 145,328,978.20 : x
  2. Step 2: Convert to fraction form
    209,952,203.80/314,928,305.70 = 145,328,978.20/x
  3. Step 3: Cross multiply
    209,952,203.80x = 314,928,305.70 × 145,328,978.20
  4. Step 4: Simplify right side
    209,952,203.80x = 45,768,208,873,638,232
  5. Step 5: Solve for x
    x = 45,768,208,873,638,232/209,952,203.80
  6. Step 6: Final answer
    x = 217,993,467.30

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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.