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Finding the Fourth Proportional to 431,402.76, 643,729.32 and 386,573.04

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Solution

The fourth proportional to 431,402.76, 643,729.32 and 386,573.04 is: 576,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,402.76 : 643,729.32 = 386,573.04 : x
  2. Step 2: Convert to fraction form
    431,402.76/643,729.32 = 386,573.04/x
  3. Step 3: Cross multiply
    431,402.76x = 643,729.32 × 386,573.04
  4. Step 4: Simplify right side
    431,402.76x = 248,848,400,169.53
  5. Step 5: Solve for x
    x = 248,848,400,169.53/431,402.76
  6. Step 6: Final answer
    x = 576,835.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.