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Finding the Fourth Proportional to 314,928,223.80, 472,392,335.70 and 161,589,780.60

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Solution

The fourth proportional to 314,928,223.80, 472,392,335.70 and 161,589,780.60 is: 242,384,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,223.80 : 472,392,335.70 = 161,589,780.60 : x
  2. Step 2: Convert to fraction form
    314,928,223.80/472,392,335.70 = 161,589,780.60/x
  3. Step 3: Cross multiply
    314,928,223.80x = 472,392,335.70 × 161,589,780.60
  4. Step 4: Simplify right side
    314,928,223.80x = 76,333,773,882,884,544
  5. Step 5: Solve for x
    x = 76,333,773,882,884,544/314,928,223.80
  6. Step 6: Final answer
    x = 242,384,670.90

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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.