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Finding the Fourth Proportional to 678,447, 1,018,137.06 and 235,215

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Solution

The fourth proportional to 678,447, 1,018,137.06 and 235,215 is: 352,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,447 : 1,018,137.06 = 235,215 : x
  2. Step 2: Convert to fraction form
    678,447/1,018,137.06 = 235,215/x
  3. Step 3: Cross multiply
    678,447x = 1,018,137.06 × 235,215
  4. Step 4: Simplify right side
    678,447x = 239,481,108,567.90
  5. Step 5: Solve for x
    x = 239,481,108,567.90/678,447
  6. Step 6: Final answer
    x = 352,984.25

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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.