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Finding the Fourth Proportional to 427,614.84, 590,120.70 and 236,646

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Solution

The fourth proportional to 427,614.84, 590,120.70 and 236,646 is: 326,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,614.84 : 590,120.70 = 236,646 : x
  2. Step 2: Convert to fraction form
    427,614.84/590,120.70 = 236,646/x
  3. Step 3: Cross multiply
    427,614.84x = 590,120.70 × 236,646
  4. Step 4: Simplify right side
    427,614.84x = 139,649,703,172.20
  5. Step 5: Solve for x
    x = 139,649,703,172.20/427,614.84
  6. Step 6: Final answer
    x = 326,578.24

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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.