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Finding the Fourth Proportional to 314,928,329.70, 472,392,494.55 and 199,995,356.10

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Solution

The fourth proportional to 314,928,329.70, 472,392,494.55 and 199,995,356.10 is: 299,993,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,329.70 : 472,392,494.55 = 199,995,356.10 : x
  2. Step 2: Convert to fraction form
    314,928,329.70/472,392,494.55 = 199,995,356.10/x
  3. Step 3: Cross multiply
    314,928,329.70x = 472,392,494.55 × 199,995,356.10
  4. Step 4: Simplify right side
    314,928,329.70x = 94,476,305,166,494,560
  5. Step 5: Solve for x
    x = 94,476,305,166,494,560/314,928,329.70
  6. Step 6: Final answer
    x = 299,993,034.15

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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.