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Finding the Fourth Proportional to 786,094, 1,084,810.80 and 428,398

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Solution

The fourth proportional to 786,094, 1,084,810.80 and 428,398 is: 591,189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,094 : 1,084,810.80 = 428,398 : x
  2. Step 2: Convert to fraction form
    786,094/1,084,810.80 = 428,398/x
  3. Step 3: Cross multiply
    786,094x = 1,084,810.80 × 428,398
  4. Step 4: Simplify right side
    786,094x = 464,730,777,098.40
  5. Step 5: Solve for x
    x = 464,730,777,098.40/786,094
  6. Step 6: Final answer
    x = 591,189.83

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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.