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Finding the Fourth Proportional to 364,585.86, 503,053.37 and 209,507.21

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Solution

The fourth proportional to 364,585.86, 503,053.37 and 209,507.21 is: 289,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,585.86 : 503,053.37 = 209,507.21 : x
  2. Step 2: Convert to fraction form
    364,585.86/503,053.37 = 209,507.21/x
  3. Step 3: Cross multiply
    364,585.86x = 503,053.37 × 209,507.21
  4. Step 4: Simplify right side
    364,585.86x = 105,393,304,467.00
  5. Step 5: Solve for x
    x = 105,393,304,467.00/364,585.86
  6. Step 6: Final answer
    x = 289,076.77

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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.