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Finding the Fourth Proportional to 531,686, 733,726.72 and 293,222

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Solution

The fourth proportional to 531,686, 733,726.72 and 293,222 is: 404,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,686 : 733,726.72 = 293,222 : x
  2. Step 2: Convert to fraction form
    531,686/733,726.72 = 293,222/x
  3. Step 3: Cross multiply
    531,686x = 733,726.72 × 293,222
  4. Step 4: Simplify right side
    531,686x = 215,144,816,291.84
  5. Step 5: Solve for x
    x = 215,144,816,291.84/531,686
  6. Step 6: Final answer
    x = 404,646.38

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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.