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Finding the Fourth Proportional to 511,511.21, 705,856.44 and 317,913.95

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Solution

The fourth proportional to 511,511.21, 705,856.44 and 317,913.95 is: 438,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,511.21 : 705,856.44 = 317,913.95 : x
  2. Step 2: Convert to fraction form
    511,511.21/705,856.44 = 317,913.95/x
  3. Step 3: Cross multiply
    511,511.21x = 705,856.44 × 317,913.95
  4. Step 4: Simplify right side
    511,511.21x = 224,401,611,930.16
  5. Step 5: Solve for x
    x = 224,401,611,930.16/511,511.21
  6. Step 6: Final answer
    x = 438,703.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.