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Finding the Fourth Proportional to 347,008, 478,871.04 and 188,032

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Solution

The fourth proportional to 347,008, 478,871.04 and 188,032 is: 259,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,008 : 478,871.04 = 188,032 : x
  2. Step 2: Convert to fraction form
    347,008/478,871.04 = 188,032/x
  3. Step 3: Cross multiply
    347,008x = 478,871.04 × 188,032
  4. Step 4: Simplify right side
    347,008x = 90,043,079,393.28
  5. Step 5: Solve for x
    x = 90,043,079,393.28/347,008
  6. Step 6: Final answer
    x = 259,484.16

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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.