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Finding the Fourth Proportional to 291,994, 402,952.68 and 157,858.96

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Solution

The fourth proportional to 291,994, 402,952.68 and 157,858.96 is: 217,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,994 : 402,952.68 = 157,858.96 : x
  2. Step 2: Convert to fraction form
    291,994/402,952.68 = 157,858.96/x
  3. Step 3: Cross multiply
    291,994x = 402,952.68 × 157,858.96
  4. Step 4: Simplify right side
    291,994x = 63,609,690,994.01
  5. Step 5: Solve for x
    x = 63,609,690,994.01/291,994
  6. Step 6: Final answer
    x = 217,845.88

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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.