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Finding the Fourth Proportional to 282,459.56, 389,631.48 and 169,216.70

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Solution

The fourth proportional to 282,459.56, 389,631.48 and 169,216.70 is: 233,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,459.56 : 389,631.48 = 169,216.70 : x
  2. Step 2: Convert to fraction form
    282,459.56/389,631.48 = 169,216.70/x
  3. Step 3: Cross multiply
    282,459.56x = 389,631.48 × 169,216.70
  4. Step 4: Simplify right side
    282,459.56x = 65,932,153,261.72
  5. Step 5: Solve for x
    x = 65,932,153,261.72/282,459.56
  6. Step 6: Final answer
    x = 233,421.57

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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.