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Finding the Fourth Proportional to 785,654, 1,084,202.52 and 427,958

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Solution

The fourth proportional to 785,654, 1,084,202.52 and 427,958 is: 590,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,654 : 1,084,202.52 = 427,958 : x
  2. Step 2: Convert to fraction form
    785,654/1,084,202.52 = 427,958/x
  3. Step 3: Cross multiply
    785,654x = 1,084,202.52 × 427,958
  4. Step 4: Simplify right side
    785,654x = 463,993,142,054.16
  5. Step 5: Solve for x
    x = 463,993,142,054.16/785,654
  6. Step 6: Final answer
    x = 590,582.04

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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.