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Finding the Fourth Proportional to 296,309.88, 409,094.55 and 205,636.86

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Solution

The fourth proportional to 296,309.88, 409,094.55 and 205,636.86 is: 283,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,309.88 : 409,094.55 = 205,636.86 : x
  2. Step 2: Convert to fraction form
    296,309.88/409,094.55 = 205,636.86/x
  3. Step 3: Cross multiply
    296,309.88x = 409,094.55 × 205,636.86
  4. Step 4: Simplify right side
    296,309.88x = 84,124,918,705.11
  5. Step 5: Solve for x
    x = 84,124,918,705.11/296,309.88
  6. Step 6: Final answer
    x = 283,908.58

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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.