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Finding the Fourth Proportional to 282,580.87, 423,871.52 and 72,219.01

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Solution

The fourth proportional to 282,580.87, 423,871.52 and 72,219.01 is: 108,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,580.87 : 423,871.52 = 72,219.01 : x
  2. Step 2: Convert to fraction form
    282,580.87/423,871.52 = 72,219.01/x
  3. Step 3: Cross multiply
    282,580.87x = 423,871.52 × 72,219.01
  4. Step 4: Simplify right side
    282,580.87x = 30,611,581,180.50
  5. Step 5: Solve for x
    x = 30,611,581,180.50/282,580.87
  6. Step 6: Final answer
    x = 108,328.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.