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Finding the Fourth Proportional to 384,689.25, 530,856.79 and 221,370.98

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Solution

The fourth proportional to 384,689.25, 530,856.79 and 221,370.98 is: 305,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,689.25 : 530,856.79 = 221,370.98 : x
  2. Step 2: Convert to fraction form
    384,689.25/530,856.79 = 221,370.98/x
  3. Step 3: Cross multiply
    384,689.25x = 530,856.79 × 221,370.98
  4. Step 4: Simplify right side
    384,689.25x = 117,516,284,634.24
  5. Step 5: Solve for x
    x = 117,516,284,634.24/384,689.25
  6. Step 6: Final answer
    x = 305,483.67

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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.