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Finding the Fourth Proportional to 291,941.89, 402,879.63 and 157,805.89

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Solution

The fourth proportional to 291,941.89, 402,879.63 and 157,805.89 is: 217,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,941.89 : 402,879.63 = 157,805.89 : x
  2. Step 2: Convert to fraction form
    291,941.89/402,879.63 = 157,805.89/x
  3. Step 3: Cross multiply
    291,941.89x = 402,879.63 × 157,805.89
  4. Step 4: Simplify right side
    291,941.89x = 63,576,778,575.02
  5. Step 5: Solve for x
    x = 63,576,778,575.02/291,941.89
  6. Step 6: Final answer
    x = 217,772.03

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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.