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Finding the Fourth Proportional to 654,343.71, 902,985.42 and 363,952.50

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Solution

The fourth proportional to 654,343.71, 902,985.42 and 363,952.50 is: 502,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,343.71 : 902,985.42 = 363,952.50 : x
  2. Step 2: Convert to fraction form
    654,343.71/902,985.42 = 363,952.50/x
  3. Step 3: Cross multiply
    654,343.71x = 902,985.42 × 363,952.50
  4. Step 4: Simplify right side
    654,343.71x = 328,643,801,072.55
  5. Step 5: Solve for x
    x = 328,643,801,072.55/654,343.71
  6. Step 6: Final answer
    x = 502,249.50

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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.