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Finding the Fourth Proportional to 427,821.88, 590,398.86 and 236,838.64

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Solution

The fourth proportional to 427,821.88, 590,398.86 and 236,838.64 is: 326,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,821.88 : 590,398.86 = 236,838.64 : x
  2. Step 2: Convert to fraction form
    427,821.88/590,398.86 = 236,838.64/x
  3. Step 3: Cross multiply
    427,821.88x = 590,398.86 × 236,838.64
  4. Step 4: Simplify right side
    427,821.88x = 139,829,263,059.95
  5. Step 5: Solve for x
    x = 139,829,263,059.95/427,821.88
  6. Step 6: Final answer
    x = 326,839.91

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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.