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Finding the Fourth Proportional to 368,100.84, 507,978.54 and 206,956.20

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Solution

The fourth proportional to 368,100.84, 507,978.54 and 206,956.20 is: 285,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,100.84 : 507,978.54 = 206,956.20 : x
  2. Step 2: Convert to fraction form
    368,100.84/507,978.54 = 206,956.20/x
  3. Step 3: Cross multiply
    368,100.84x = 507,978.54 × 206,956.20
  4. Step 4: Simplify right side
    368,100.84x = 105,129,308,319.95
  5. Step 5: Solve for x
    x = 105,129,308,319.95/368,100.84
  6. Step 6: Final answer
    x = 285,599.21

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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.