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Finding the Fourth Proportional to 841,283, 1,261,927.20 and 210,196.88

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Solution

The fourth proportional to 841,283, 1,261,927.20 and 210,196.88 is: 315,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,283 : 1,261,927.20 = 210,196.88 : x
  2. Step 2: Convert to fraction form
    841,283/1,261,927.20 = 210,196.88/x
  3. Step 3: Cross multiply
    841,283x = 1,261,927.20 × 210,196.88
  4. Step 4: Simplify right side
    841,283x = 265,253,160,227.14
  5. Step 5: Solve for x
    x = 265,253,160,227.14/841,283
  6. Step 6: Final answer
    x = 315,295.99

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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.