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Finding the Fourth Proportional to 289,840.92, 399,796.38 and 209,386.68

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Solution

The fourth proportional to 289,840.92, 399,796.38 and 209,386.68 is: 288,820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,840.92 : 399,796.38 = 209,386.68 : x
  2. Step 2: Convert to fraction form
    289,840.92/399,796.38 = 209,386.68/x
  3. Step 3: Cross multiply
    289,840.92x = 399,796.38 × 209,386.68
  4. Step 4: Simplify right side
    289,840.92x = 83,712,036,684.22
  5. Step 5: Solve for x
    x = 83,712,036,684.22/289,840.92
  6. Step 6: Final answer
    x = 288,820.63

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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.