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Finding the Fourth Proportional to 291,940.89, 402,878.25 and 157,804.89

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Solution

The fourth proportional to 291,940.89, 402,878.25 and 157,804.89 is: 217,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,940.89 : 402,878.25 = 157,804.89 : x
  2. Step 2: Convert to fraction form
    291,940.89/402,878.25 = 157,804.89/x
  3. Step 3: Cross multiply
    291,940.89x = 402,878.25 × 157,804.89
  4. Step 4: Simplify right side
    291,940.89x = 63,576,157,924.64
  5. Step 5: Solve for x
    x = 63,576,157,924.64/291,940.89
  6. Step 6: Final answer
    x = 217,770.65

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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.