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Finding the Fourth Proportional to 366,978.51, 506,389.86 and 205,800.39

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Solution

The fourth proportional to 366,978.51, 506,389.86 and 205,800.39 is: 283,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,978.51 : 506,389.86 = 205,800.39 : x
  2. Step 2: Convert to fraction form
    366,978.51/506,389.86 = 205,800.39/x
  3. Step 3: Cross multiply
    366,978.51x = 506,389.86 × 205,800.39
  4. Step 4: Simplify right side
    366,978.51x = 104,215,230,680.05
  5. Step 5: Solve for x
    x = 104,215,230,680.05/366,978.51
  6. Step 6: Final answer
    x = 283,981.84

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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.