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Finding the Fourth Proportional to 291,237.96, 401,984.34 and 178,155.48

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Solution

The fourth proportional to 291,237.96, 401,984.34 and 178,155.48 is: 245,901.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,237.96 : 401,984.34 = 178,155.48 : x
  2. Step 2: Convert to fraction form
    291,237.96/401,984.34 = 178,155.48/x
  3. Step 3: Cross multiply
    291,237.96x = 401,984.34 × 178,155.48
  4. Step 4: Simplify right side
    291,237.96x = 71,615,713,045.18
  5. Step 5: Solve for x
    x = 71,615,713,045.18/291,237.96
  6. Step 6: Final answer
    x = 245,901.03

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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.