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Finding the Fourth Proportional to 840,498, 1,159,887.24 and 538,692

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Solution

The fourth proportional to 840,498, 1,159,887.24 and 538,692 is: 743,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,498 : 1,159,887.24 = 538,692 : x
  2. Step 2: Convert to fraction form
    840,498/1,159,887.24 = 538,692/x
  3. Step 3: Cross multiply
    840,498x = 1,159,887.24 × 538,692
  4. Step 4: Simplify right side
    840,498x = 624,821,977,090.08
  5. Step 5: Solve for x
    x = 624,821,977,090.08/840,498
  6. Step 6: Final answer
    x = 743,394.96

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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.