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Finding the Fourth Proportional to 678,783.36, 1,018,188 and 205,466.88

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Solution

The fourth proportional to 678,783.36, 1,018,188 and 205,466.88 is: 308,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,783.36 : 1,018,188 = 205,466.88 : x
  2. Step 2: Convert to fraction form
    678,783.36/1,018,188 = 205,466.88/x
  3. Step 3: Cross multiply
    678,783.36x = 1,018,188 × 205,466.88
  4. Step 4: Simplify right side
    678,783.36x = 209,203,911,613.44
  5. Step 5: Solve for x
    x = 209,203,911,613.44/678,783.36
  6. Step 6: Final answer
    x = 308,204.24

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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.