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Finding the Fourth Proportional to 490,535.44, 676,941.28 and 286,598

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Solution

The fourth proportional to 490,535.44, 676,941.28 and 286,598 is: 395,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,535.44 : 676,941.28 = 286,598 : x
  2. Step 2: Convert to fraction form
    490,535.44/676,941.28 = 286,598/x
  3. Step 3: Cross multiply
    490,535.44x = 676,941.28 × 286,598
  4. Step 4: Simplify right side
    490,535.44x = 194,010,016,965.44
  5. Step 5: Solve for x
    x = 194,010,016,965.44/490,535.44
  6. Step 6: Final answer
    x = 395,506.63

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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.