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Finding the Fourth Proportional to 282,378.32, 423,564.60 and 72,014

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Solution

The fourth proportional to 282,378.32, 423,564.60 and 72,014 is: 108,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,378.32 : 423,564.60 = 72,014 : x
  2. Step 2: Convert to fraction form
    282,378.32/423,564.60 = 72,014/x
  3. Step 3: Cross multiply
    282,378.32x = 423,564.60 × 72,014
  4. Step 4: Simplify right side
    282,378.32x = 30,502,581,104.40
  5. Step 5: Solve for x
    x = 30,502,581,104.40/282,378.32
  6. Step 6: Final answer
    x = 108,020.27

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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.