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Finding the Fourth Proportional to 219,810.60, 329,715.90 and 189,743.40

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Solution

The fourth proportional to 219,810.60, 329,715.90 and 189,743.40 is: 284,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,810.60 : 329,715.90 = 189,743.40 : x
  2. Step 2: Convert to fraction form
    219,810.60/329,715.90 = 189,743.40/x
  3. Step 3: Cross multiply
    219,810.60x = 329,715.90 × 189,743.40
  4. Step 4: Simplify right side
    219,810.60x = 62,561,415,900.06
  5. Step 5: Solve for x
    x = 62,561,415,900.06/219,810.60
  6. Step 6: Final answer
    x = 284,615.10

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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.