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Finding the Fourth Proportional to 432,316.71, 647,950.05 and 305,993.97

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Solution

The fourth proportional to 432,316.71, 647,950.05 and 305,993.97 is: 458,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,316.71 : 647,950.05 = 305,993.97 : x
  2. Step 2: Convert to fraction form
    432,316.71/647,950.05 = 305,993.97/x
  3. Step 3: Cross multiply
    432,316.71x = 647,950.05 × 305,993.97
  4. Step 4: Simplify right side
    432,316.71x = 198,268,808,161.20
  5. Step 5: Solve for x
    x = 198,268,808,161.20/432,316.71
  6. Step 6: Final answer
    x = 458,619.35

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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.