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Finding the Fourth Proportional to 978,090.30, 1,467,999.45 and 578,231.10

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Solution

The fourth proportional to 978,090.30, 1,467,999.45 and 578,231.10 is: 867,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,090.30 : 1,467,999.45 = 578,231.10 : x
  2. Step 2: Convert to fraction form
    978,090.30/1,467,999.45 = 578,231.10/x
  3. Step 3: Cross multiply
    978,090.30x = 1,467,999.45 × 578,231.10
  4. Step 4: Simplify right side
    978,090.30x = 848,842,936,772.90
  5. Step 5: Solve for x
    x = 848,842,936,772.90/978,090.30
  6. Step 6: Final answer
    x = 867,857.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.