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Finding the Fourth Proportional to 284,051.93, 391,991.37 and 156,727.51

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Solution

The fourth proportional to 284,051.93, 391,991.37 and 156,727.51 is: 216,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,051.93 : 391,991.37 = 156,727.51 : x
  2. Step 2: Convert to fraction form
    284,051.93/391,991.37 = 156,727.51/x
  3. Step 3: Cross multiply
    284,051.93x = 391,991.37 × 156,727.51
  4. Step 4: Simplify right side
    284,051.93x = 61,435,831,361.59
  5. Step 5: Solve for x
    x = 61,435,831,361.59/284,051.93
  6. Step 6: Final answer
    x = 216,283.80

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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.