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Finding the Fourth Proportional to 315,773.54, 435,767.87 and 172,533.59

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Solution

The fourth proportional to 315,773.54, 435,767.87 and 172,533.59 is: 238,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,773.54 : 435,767.87 = 172,533.59 : x
  2. Step 2: Convert to fraction form
    315,773.54/435,767.87 = 172,533.59/x
  3. Step 3: Cross multiply
    315,773.54x = 435,767.87 × 172,533.59
  4. Step 4: Simplify right side
    315,773.54x = 75,184,595,017.75
  5. Step 5: Solve for x
    x = 75,184,595,017.75/315,773.54
  6. Step 6: Final answer
    x = 238,096.56

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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.