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Finding the Fourth Proportional to 1,849,576, 2,774,364 and 519,880

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Solution

The fourth proportional to 1,849,576, 2,774,364 and 519,880 is: 779,820

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,576 : 2,774,364 = 519,880 : x
  2. Step 2: Convert to fraction form
    1,849,576/2,774,364 = 519,880/x
  3. Step 3: Cross multiply
    1,849,576x = 2,774,364 × 519,880
  4. Step 4: Simplify right side
    1,849,576x = 1,442,336,356,320
  5. Step 5: Solve for x
    x = 1,442,336,356,320/1,849,576
  6. Step 6: Final answer
    x = 779,820

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.