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Finding the Fourth Proportional to 876,312, 1,314,468 and 211,464

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Solution

The fourth proportional to 876,312, 1,314,468 and 211,464 is: 317,196

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,312 : 1,314,468 = 211,464 : x
  2. Step 2: Convert to fraction form
    876,312/1,314,468 = 211,464/x
  3. Step 3: Cross multiply
    876,312x = 1,314,468 × 211,464
  4. Step 4: Simplify right side
    876,312x = 277,962,661,152
  5. Step 5: Solve for x
    x = 277,962,661,152/876,312
  6. Step 6: Final answer
    x = 317,196

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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.