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Finding the Fourth Proportional to 402,211.88, 554,661.76 and 271,676.60

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Solution

The fourth proportional to 402,211.88, 554,661.76 and 271,676.60 is: 374,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,211.88 : 554,661.76 = 271,676.60 : x
  2. Step 2: Convert to fraction form
    402,211.88/554,661.76 = 271,676.60/x
  3. Step 3: Cross multiply
    402,211.88x = 554,661.76 × 271,676.60
  4. Step 4: Simplify right side
    402,211.88x = 150,688,621,106.82
  5. Step 5: Solve for x
    x = 150,688,621,106.82/402,211.88
  6. Step 6: Final answer
    x = 374,649.85

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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.