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Finding the Fourth Proportional to 478,644.09, 660,412.83 and 271,866.48

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Solution

The fourth proportional to 478,644.09, 660,412.83 and 271,866.48 is: 375,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,644.09 : 660,412.83 = 271,866.48 : x
  2. Step 2: Convert to fraction form
    478,644.09/660,412.83 = 271,866.48/x
  3. Step 3: Cross multiply
    478,644.09x = 660,412.83 × 271,866.48
  4. Step 4: Simplify right side
    478,644.09x = 179,544,109,981.89
  5. Step 5: Solve for x
    x = 179,544,109,981.89/478,644.09
  6. Step 6: Final answer
    x = 375,109.85

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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.