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Finding the Fourth Proportional to 565,288.30, 780,141.24 and 323,646.66

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Solution

The fourth proportional to 565,288.30, 780,141.24 and 323,646.66 is: 446,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,288.30 : 780,141.24 = 323,646.66 : x
  2. Step 2: Convert to fraction form
    565,288.30/780,141.24 = 323,646.66/x
  3. Step 3: Cross multiply
    565,288.30x = 780,141.24 × 323,646.66
  4. Step 4: Simplify right side
    565,288.30x = 252,490,106,654.26
  5. Step 5: Solve for x
    x = 252,490,106,654.26/565,288.30
  6. Step 6: Final answer
    x = 446,657.23

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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.