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Finding the Fourth Proportional to 785,901, 1,084,543.44 and 428,205

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Solution

The fourth proportional to 785,901, 1,084,543.44 and 428,205 is: 590,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,901 : 1,084,543.44 = 428,205 : x
  2. Step 2: Convert to fraction form
    785,901/1,084,543.44 = 428,205/x
  3. Step 3: Cross multiply
    785,901x = 1,084,543.44 × 428,205
  4. Step 4: Simplify right side
    785,901x = 464,406,923,725.20
  5. Step 5: Solve for x
    x = 464,406,923,725.20/785,901
  6. Step 6: Final answer
    x = 590,922.93

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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.