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Finding the Fourth Proportional to 291,991, 402,947.94 and 157,855

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Solution

The fourth proportional to 291,991, 402,947.94 and 157,855 is: 217,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,991 : 402,947.94 = 157,855 : x
  2. Step 2: Convert to fraction form
    291,991/402,947.94 = 157,855/x
  3. Step 3: Cross multiply
    291,991x = 402,947.94 × 157,855
  4. Step 4: Simplify right side
    291,991x = 63,607,347,068.70
  5. Step 5: Solve for x
    x = 63,607,347,068.70/291,991
  6. Step 6: Final answer
    x = 217,840.09

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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.