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Finding the Fourth Proportional to 1,200,971.68, 1,657,146 and 664,324

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Solution

The fourth proportional to 1,200,971.68, 1,657,146 and 664,324 is: 916,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,971.68 : 1,657,146 = 664,324 : x
  2. Step 2: Convert to fraction form
    1,200,971.68/1,657,146 = 664,324/x
  3. Step 3: Cross multiply
    1,200,971.68x = 1,657,146 × 664,324
  4. Step 4: Simplify right side
    1,200,971.68x = 1,100,881,859,304
  5. Step 5: Solve for x
    x = 1,100,881,859,304/1,200,971.68
  6. Step 6: Final answer
    x = 916,659.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.