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Finding the Fourth Proportional to 877,566, 1,316,349 and 212,718

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Solution

The fourth proportional to 877,566, 1,316,349 and 212,718 is: 319,077

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,566 : 1,316,349 = 212,718 : x
  2. Step 2: Convert to fraction form
    877,566/1,316,349 = 212,718/x
  3. Step 3: Cross multiply
    877,566x = 1,316,349 × 212,718
  4. Step 4: Simplify right side
    877,566x = 280,011,126,582
  5. Step 5: Solve for x
    x = 280,011,126,582/877,566
  6. Step 6: Final answer
    x = 319,077

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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.