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Finding the Fourth Proportional to 314,928,476.40, 472,392,714.60 and 200,420,655.60

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Solution

The fourth proportional to 314,928,476.40, 472,392,714.60 and 200,420,655.60 is: 300,630,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,476.40 : 472,392,714.60 = 200,420,655.60 : x
  2. Step 2: Convert to fraction form
    314,928,476.40/472,392,714.60 = 200,420,655.60/x
  3. Step 3: Cross multiply
    314,928,476.40x = 472,392,714.60 × 200,420,655.60
  4. Step 4: Simplify right side
    314,928,476.40x = 94,677,257,560,795,696
  5. Step 5: Solve for x
    x = 94,677,257,560,795,696/314,928,476.40
  6. Step 6: Final answer
    x = 300,630,983.40

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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.