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Finding the Fourth Proportional to 219,394.53, 328,949.78 and 144,287.28

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Solution

The fourth proportional to 219,394.53, 328,949.78 and 144,287.28 is: 216,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,394.53 : 328,949.78 = 144,287.28 : x
  2. Step 2: Convert to fraction form
    219,394.53/328,949.78 = 144,287.28/x
  3. Step 3: Cross multiply
    219,394.53x = 328,949.78 × 144,287.28
  4. Step 4: Simplify right side
    219,394.53x = 47,463,268,291.36
  5. Step 5: Solve for x
    x = 47,463,268,291.36/219,394.53
  6. Step 6: Final answer
    x = 216,337.52

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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.