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Finding the Fourth Proportional to 561,254.45, 841,881.69 and 206,114.81

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Solution

The fourth proportional to 561,254.45, 841,881.69 and 206,114.81 is: 309,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,254.45 : 841,881.69 = 206,114.81 : x
  2. Step 2: Convert to fraction form
    561,254.45/841,881.69 = 206,114.81/x
  3. Step 3: Cross multiply
    561,254.45x = 841,881.69 × 206,114.81
  4. Step 4: Simplify right side
    561,254.45x = 173,524,280,367.42
  5. Step 5: Solve for x
    x = 173,524,280,367.42/561,254.45
  6. Step 6: Final answer
    x = 309,172.22

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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.