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Finding the Fourth Proportional to 907,857, 1,252,881.54 and 505,449

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Solution

The fourth proportional to 907,857, 1,252,881.54 and 505,449 is: 697,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,857 : 1,252,881.54 = 505,449 : x
  2. Step 2: Convert to fraction form
    907,857/1,252,881.54 = 505,449/x
  3. Step 3: Cross multiply
    907,857x = 1,252,881.54 × 505,449
  4. Step 4: Simplify right side
    907,857x = 633,267,721,511.46
  5. Step 5: Solve for x
    x = 633,267,721,511.46/907,857
  6. Step 6: Final answer
    x = 697,541.27

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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.