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Finding the Fourth Proportional to 389,203.56, 537,088.74 and 219,435.24

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Solution

The fourth proportional to 389,203.56, 537,088.74 and 219,435.24 is: 302,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,203.56 : 537,088.74 = 219,435.24 : x
  2. Step 2: Convert to fraction form
    389,203.56/537,088.74 = 219,435.24/x
  3. Step 3: Cross multiply
    389,203.56x = 537,088.74 × 219,435.24
  4. Step 4: Simplify right side
    389,203.56x = 117,856,196,563.20
  5. Step 5: Solve for x
    x = 117,856,196,563.20/389,203.56
  6. Step 6: Final answer
    x = 302,813.77

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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.