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Finding the Fourth Proportional to 877,592, 1,316,388 and 212,744

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Solution

The fourth proportional to 877,592, 1,316,388 and 212,744 is: 319,116

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,592 : 1,316,388 = 212,744 : x
  2. Step 2: Convert to fraction form
    877,592/1,316,388 = 212,744/x
  3. Step 3: Cross multiply
    877,592x = 1,316,388 × 212,744
  4. Step 4: Simplify right side
    877,592x = 280,053,648,672
  5. Step 5: Solve for x
    x = 280,053,648,672/877,592
  6. Step 6: Final answer
    x = 319,116

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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.