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Finding the Fourth Proportional to 877,608, 1,316,412 and 212,760

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Solution

The fourth proportional to 877,608, 1,316,412 and 212,760 is: 319,140

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,608 : 1,316,412 = 212,760 : x
  2. Step 2: Convert to fraction form
    877,608/1,316,412 = 212,760/x
  3. Step 3: Cross multiply
    877,608x = 1,316,412 × 212,760
  4. Step 4: Simplify right side
    877,608x = 280,079,817,120
  5. Step 5: Solve for x
    x = 280,079,817,120/877,608
  6. Step 6: Final answer
    x = 319,140

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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.