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Finding the Fourth Proportional to 219,344.40, 328,752 and 100,853.28

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Solution

The fourth proportional to 219,344.40, 328,752 and 100,853.28 is: 151,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,344.40 : 328,752 = 100,853.28 : x
  2. Step 2: Convert to fraction form
    219,344.40/328,752 = 100,853.28/x
  3. Step 3: Cross multiply
    219,344.40x = 328,752 × 100,853.28
  4. Step 4: Simplify right side
    219,344.40x = 33,155,717,506.56
  5. Step 5: Solve for x
    x = 33,155,717,506.56/219,344.40
  6. Step 6: Final answer
    x = 151,158.26

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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.