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Finding the Fourth Proportional to 219,038.63, 328,616.26 and 69,281.64

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Solution

The fourth proportional to 219,038.63, 328,616.26 and 69,281.64 is: 103,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,038.63 : 328,616.26 = 69,281.64 : x
  2. Step 2: Convert to fraction form
    219,038.63/328,616.26 = 69,281.64/x
  3. Step 3: Cross multiply
    219,038.63x = 328,616.26 × 69,281.64
  4. Step 4: Simplify right side
    219,038.63x = 22,767,073,250.26
  5. Step 5: Solve for x
    x = 22,767,073,250.26/219,038.63
  6. Step 6: Final answer
    x = 103,940.91

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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.