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Finding the Fourth Proportional to 284,053.93, 391,994.13 and 156,729.51

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Solution

The fourth proportional to 284,053.93, 391,994.13 and 156,729.51 is: 216,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,053.93 : 391,994.13 = 156,729.51 : x
  2. Step 2: Convert to fraction form
    284,053.93/391,994.13 = 156,729.51/x
  3. Step 3: Cross multiply
    284,053.93x = 391,994.13 × 156,729.51
  4. Step 4: Simplify right side
    284,053.93x = 61,437,047,917.78
  5. Step 5: Solve for x
    x = 61,437,047,917.78/284,053.93
  6. Step 6: Final answer
    x = 216,286.56

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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.