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Finding the Fourth Proportional to 785,898, 1,084,539.24 and 428,202

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Solution

The fourth proportional to 785,898, 1,084,539.24 and 428,202 is: 590,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,898 : 1,084,539.24 = 428,202 : x
  2. Step 2: Convert to fraction form
    785,898/1,084,539.24 = 428,202/x
  3. Step 3: Cross multiply
    785,898x = 1,084,539.24 × 428,202
  4. Step 4: Simplify right side
    785,898x = 464,401,871,646.48
  5. Step 5: Solve for x
    x = 464,401,871,646.48/785,898
  6. Step 6: Final answer
    x = 590,918.76

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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.