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Finding the Fourth Proportional to 1,849,620, 2,774,430 and 519,924

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Solution

The fourth proportional to 1,849,620, 2,774,430 and 519,924 is: 779,886

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,620 : 2,774,430 = 519,924 : x
  2. Step 2: Convert to fraction form
    1,849,620/2,774,430 = 519,924/x
  3. Step 3: Cross multiply
    1,849,620x = 2,774,430 × 519,924
  4. Step 4: Simplify right side
    1,849,620x = 1,442,492,743,320
  5. Step 5: Solve for x
    x = 1,442,492,743,320/1,849,620
  6. Step 6: Final answer
    x = 779,886

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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.