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Finding the Fourth Proportional to 1,911,314, 2,866,971 and 581,618

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Solution

The fourth proportional to 1,911,314, 2,866,971 and 581,618 is: 872,427

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911,314 : 2,866,971 = 581,618 : x
  2. Step 2: Convert to fraction form
    1,911,314/2,866,971 = 581,618/x
  3. Step 3: Cross multiply
    1,911,314x = 2,866,971 × 581,618
  4. Step 4: Simplify right side
    1,911,314x = 1,667,481,939,078
  5. Step 5: Solve for x
    x = 1,667,481,939,078/1,911,314
  6. Step 6: Final answer
    x = 872,427

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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.