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Finding the Fourth Proportional to 289,652.46, 399,584.79 and 180,667.50

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Solution

The fourth proportional to 289,652.46, 399,584.79 and 180,667.50 is: 249,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,652.46 : 399,584.79 = 180,667.50 : x
  2. Step 2: Convert to fraction form
    289,652.46/399,584.79 = 180,667.50/x
  3. Step 3: Cross multiply
    289,652.46x = 399,584.79 × 180,667.50
  4. Step 4: Simplify right side
    289,652.46x = 72,191,985,047.33
  5. Step 5: Solve for x
    x = 72,191,985,047.33/289,652.46
  6. Step 6: Final answer
    x = 249,236.57

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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.