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Finding the Fourth Proportional to 312,348.60, 468,384.39 and 143,828.10

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Solution

The fourth proportional to 312,348.60, 468,384.39 and 143,828.10 is: 215,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,348.60 : 468,384.39 = 143,828.10 : x
  2. Step 2: Convert to fraction form
    312,348.60/468,384.39 = 143,828.10/x
  3. Step 3: Cross multiply
    312,348.60x = 468,384.39 × 143,828.10
  4. Step 4: Simplify right side
    312,348.60x = 67,366,836,883.36
  5. Step 5: Solve for x
    x = 67,366,836,883.36/312,348.60
  6. Step 6: Final answer
    x = 215,678.37

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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.