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Finding the Fourth Proportional to 431,399.08, 596,406.93 and 323,782.30

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Solution

The fourth proportional to 431,399.08, 596,406.93 and 323,782.30 is: 447,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,399.08 : 596,406.93 = 323,782.30 : x
  2. Step 2: Convert to fraction form
    431,399.08/596,406.93 = 323,782.30/x
  3. Step 3: Cross multiply
    431,399.08x = 596,406.93 × 323,782.30
  4. Step 4: Simplify right side
    431,399.08x = 193,106,007,531.34
  5. Step 5: Solve for x
    x = 193,106,007,531.34/431,399.08
  6. Step 6: Final answer
    x = 447,627.30

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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.