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Finding the Fourth Proportional to 312,296.40, 468,132.12 and 143,938.44

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Solution

The fourth proportional to 312,296.40, 468,132.12 and 143,938.44 is: 215,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,296.40 : 468,132.12 = 143,938.44 : x
  2. Step 2: Convert to fraction form
    312,296.40/468,132.12 = 143,938.44/x
  3. Step 3: Cross multiply
    312,296.40x = 468,132.12 × 143,938.44
  4. Step 4: Simplify right side
    312,296.40x = 67,382,207,066.69
  5. Step 5: Solve for x
    x = 67,382,207,066.69/312,296.40
  6. Step 6: Final answer
    x = 215,763.64

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1.5x scale

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.