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Finding the Fourth Proportional to 654,344.71, 902,986.80 and 363,953.50

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Solution

The fourth proportional to 654,344.71, 902,986.80 and 363,953.50 is: 502,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,344.71 : 902,986.80 = 363,953.50 : x
  2. Step 2: Convert to fraction form
    654,344.71/902,986.80 = 363,953.50/x
  3. Step 3: Cross multiply
    654,344.71x = 902,986.80 × 363,953.50
  4. Step 4: Simplify right side
    654,344.71x = 328,645,206,313.80
  5. Step 5: Solve for x
    x = 328,645,206,313.80/654,344.71
  6. Step 6: Final answer
    x = 502,250.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.