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Finding the Fourth Proportional to 314,928,443.80, 472,392,665.70 and 84,889,286.20

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Solution

The fourth proportional to 314,928,443.80, 472,392,665.70 and 84,889,286.20 is: 127,333,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,443.80 : 472,392,665.70 = 84,889,286.20 : x
  2. Step 2: Convert to fraction form
    314,928,443.80/472,392,665.70 = 84,889,286.20/x
  3. Step 3: Cross multiply
    314,928,443.80x = 472,392,665.70 × 84,889,286.20
  4. Step 4: Simplify right side
    314,928,443.80x = 40,101,076,197,388,224
  5. Step 5: Solve for x
    x = 40,101,076,197,388,224/314,928,443.80
  6. Step 6: Final answer
    x = 127,333,929.30

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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.