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Finding the Fourth Proportional to 785,905, 1,084,548.96 and 428,209

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Solution

The fourth proportional to 785,905, 1,084,548.96 and 428,209 is: 590,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,905 : 1,084,548.96 = 428,209 : x
  2. Step 2: Convert to fraction form
    785,905/1,084,548.96 = 428,209/x
  3. Step 3: Cross multiply
    785,905x = 1,084,548.96 × 428,209
  4. Step 4: Simplify right side
    785,905x = 464,413,625,612.64
  5. Step 5: Solve for x
    x = 464,413,625,612.64/785,905
  6. Step 6: Final answer
    x = 590,928.45

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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.