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Finding the Fourth Proportional to 314,928,907.80, 472,393,361.70 and 161,590,464.60

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Solution

The fourth proportional to 314,928,907.80, 472,393,361.70 and 161,590,464.60 is: 242,385,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,907.80 : 472,393,361.70 = 161,590,464.60 : x
  2. Step 2: Convert to fraction form
    314,928,907.80/472,393,361.70 = 161,590,464.60/x
  3. Step 3: Cross multiply
    314,928,907.80x = 472,393,361.70 × 161,590,464.60
  4. Step 4: Simplify right side
    314,928,907.80x = 76,334,262,791,058,848
  5. Step 5: Solve for x
    x = 76,334,262,791,058,848/314,928,907.80
  6. Step 6: Final answer
    x = 242,385,696.90

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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.