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Finding the Fourth Proportional to 785,910, 1,084,555.80 and 428,214

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Solution

The fourth proportional to 785,910, 1,084,555.80 and 428,214 is: 590,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,910 : 1,084,555.80 = 428,214 : x
  2. Step 2: Convert to fraction form
    785,910/1,084,555.80 = 428,214/x
  3. Step 3: Cross multiply
    785,910x = 1,084,555.80 × 428,214
  4. Step 4: Simplify right side
    785,910x = 464,421,977,341.20
  5. Step 5: Solve for x
    x = 464,421,977,341.20/785,910
  6. Step 6: Final answer
    x = 590,935.32

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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.