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Finding the Fourth Proportional to 877,542, 1,316,313 and 212,694

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Solution

The fourth proportional to 877,542, 1,316,313 and 212,694 is: 319,041

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,542 : 1,316,313 = 212,694 : x
  2. Step 2: Convert to fraction form
    877,542/1,316,313 = 212,694/x
  3. Step 3: Cross multiply
    877,542x = 1,316,313 × 212,694
  4. Step 4: Simplify right side
    877,542x = 279,971,877,222
  5. Step 5: Solve for x
    x = 279,971,877,222/877,542
  6. Step 6: Final answer
    x = 319,041

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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.