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Finding the Fourth Proportional to 490,271.76, 676,575.43 and 275,411.97

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Solution

The fourth proportional to 490,271.76, 676,575.43 and 275,411.97 is: 380,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,271.76 : 676,575.43 = 275,411.97 : x
  2. Step 2: Convert to fraction form
    490,271.76/676,575.43 = 275,411.97/x
  3. Step 3: Cross multiply
    490,271.76x = 676,575.43 × 275,411.97
  4. Step 4: Simplify right side
    490,271.76x = 186,336,971,341.37
  5. Step 5: Solve for x
    x = 186,336,971,341.37/490,271.76
  6. Step 6: Final answer
    x = 380,068.74

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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.