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Finding the Fourth Proportional to 365,575.20, 504,490.32 and 204,428.40

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Solution

The fourth proportional to 365,575.20, 504,490.32 and 204,428.40 is: 282,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,575.20 : 504,490.32 = 204,428.40 : x
  2. Step 2: Convert to fraction form
    365,575.20/504,490.32 = 204,428.40/x
  3. Step 3: Cross multiply
    365,575.20x = 504,490.32 × 204,428.40
  4. Step 4: Simplify right side
    365,575.20x = 103,132,148,933.09
  5. Step 5: Solve for x
    x = 103,132,148,933.09/365,575.20
  6. Step 6: Final answer
    x = 282,109.26

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1.5x scale

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.