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Finding the Fourth Proportional to 314,660.59, 434,236.32 and 171,420.59

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Solution

The fourth proportional to 314,660.59, 434,236.32 and 171,420.59 is: 236,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,660.59 : 434,236.32 = 171,420.59 : x
  2. Step 2: Convert to fraction form
    314,660.59/434,236.32 = 171,420.59/x
  3. Step 3: Cross multiply
    314,660.59x = 434,236.32 × 171,420.59
  4. Step 4: Simplify right side
    314,660.59x = 74,437,047,259.42
  5. Step 5: Solve for x
    x = 74,437,047,259.42/314,660.59
  6. Step 6: Final answer
    x = 236,562.98

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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.