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Finding the Fourth Proportional to 219,029.40, 328,544.10 and 136,085.40

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Solution

The fourth proportional to 219,029.40, 328,544.10 and 136,085.40 is: 204,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,029.40 : 328,544.10 = 136,085.40 : x
  2. Step 2: Convert to fraction form
    219,029.40/328,544.10 = 136,085.40/x
  3. Step 3: Cross multiply
    219,029.40x = 328,544.10 × 136,085.40
  4. Step 4: Simplify right side
    219,029.40x = 44,710,055,266.14
  5. Step 5: Solve for x
    x = 44,710,055,266.14/219,029.40
  6. Step 6: Final answer
    x = 204,128.10

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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.