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Finding the Fourth Proportional to 291,989.25, 402,945.57 and 157,853.25

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Solution

The fourth proportional to 291,989.25, 402,945.57 and 157,853.25 is: 217,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,989.25 : 402,945.57 = 157,853.25 : x
  2. Step 2: Convert to fraction form
    291,989.25/402,945.57 = 157,853.25/x
  3. Step 3: Cross multiply
    291,989.25x = 402,945.57 × 157,853.25
  4. Step 4: Simplify right side
    291,989.25x = 63,606,267,797.60
  5. Step 5: Solve for x
    x = 63,606,267,797.60/291,989.25
  6. Step 6: Final answer
    x = 217,837.70

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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.