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Finding the Fourth Proportional to 282,502.96, 389,759.16 and 159,978.64

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Solution

The fourth proportional to 282,502.96, 389,759.16 and 159,978.64 is: 220,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,502.96 : 389,759.16 = 159,978.64 : x
  2. Step 2: Convert to fraction form
    282,502.96/389,759.16 = 159,978.64/x
  3. Step 3: Cross multiply
    282,502.96x = 389,759.16 × 159,978.64
  4. Step 4: Simplify right side
    282,502.96x = 62,353,140,344.34
  5. Step 5: Solve for x
    x = 62,353,140,344.34/282,502.96
  6. Step 6: Final answer
    x = 220,716.77

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1.5x scale

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.