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Finding the Fourth Proportional to 642,283.77, 963,447.53 and 305,150.43

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Solution

The fourth proportional to 642,283.77, 963,447.53 and 305,150.43 is: 457,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,283.77 : 963,447.53 = 305,150.43 : x
  2. Step 2: Convert to fraction form
    642,283.77/963,447.53 = 305,150.43/x
  3. Step 3: Cross multiply
    642,283.77x = 963,447.53 × 305,150.43
  4. Step 4: Simplify right side
    642,283.77x = 293,996,426,536.19
  5. Step 5: Solve for x
    x = 293,996,426,536.19/642,283.77
  6. Step 6: Final answer
    x = 457,736.04

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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.