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Finding the Fourth Proportional to 291,906.37, 402,830.60 and 157,770.37

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Solution

The fourth proportional to 291,906.37, 402,830.60 and 157,770.37 is: 217,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,906.37 : 402,830.60 = 157,770.37 : x
  2. Step 2: Convert to fraction form
    291,906.37/402,830.60 = 157,770.37/x
  3. Step 3: Cross multiply
    291,906.37x = 402,830.60 × 157,770.37
  4. Step 4: Simplify right side
    291,906.37x = 63,554,732,809.32
  5. Step 5: Solve for x
    x = 63,554,732,809.32/291,906.37
  6. Step 6: Final answer
    x = 217,723.01

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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.