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Finding the Fourth Proportional to 877,512, 1,316,268 and 212,664

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Solution

The fourth proportional to 877,512, 1,316,268 and 212,664 is: 318,996

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,512 : 1,316,268 = 212,664 : x
  2. Step 2: Convert to fraction form
    877,512/1,316,268 = 212,664/x
  3. Step 3: Cross multiply
    877,512x = 1,316,268 × 212,664
  4. Step 4: Simplify right side
    877,512x = 279,922,817,952
  5. Step 5: Solve for x
    x = 279,922,817,952/877,512
  6. Step 6: Final answer
    x = 318,996

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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.