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Finding the Fourth Proportional to 877,584, 1,316,376 and 212,736

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Solution

The fourth proportional to 877,584, 1,316,376 and 212,736 is: 319,104

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,584 : 1,316,376 = 212,736 : x
  2. Step 2: Convert to fraction form
    877,584/1,316,376 = 212,736/x
  3. Step 3: Cross multiply
    877,584x = 1,316,376 × 212,736
  4. Step 4: Simplify right side
    877,584x = 280,040,564,736
  5. Step 5: Solve for x
    x = 280,040,564,736/877,584
  6. Step 6: Final answer
    x = 319,104

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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.