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Finding the Fourth Proportional to 291,881.50, 402,796.47 and 157,745.50

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Solution

The fourth proportional to 291,881.50, 402,796.47 and 157,745.50 is: 217,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,881.50 : 402,796.47 = 157,745.50 : x
  2. Step 2: Convert to fraction form
    291,881.50/402,796.47 = 157,745.50/x
  3. Step 3: Cross multiply
    291,881.50x = 402,796.47 × 157,745.50
  4. Step 4: Simplify right side
    291,881.50x = 63,539,330,558.39
  5. Step 5: Solve for x
    x = 63,539,330,558.39/291,881.50
  6. Step 6: Final answer
    x = 217,688.79

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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.