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Finding the Fourth Proportional to 376,917.60, 520,142.40 and 204,832.08

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Solution

The fourth proportional to 376,917.60, 520,142.40 and 204,832.08 is: 282,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,917.60 : 520,142.40 = 204,832.08 : x
  2. Step 2: Convert to fraction form
    376,917.60/520,142.40 = 204,832.08/x
  3. Step 3: Cross multiply
    376,917.60x = 520,142.40 × 204,832.08
  4. Step 4: Simplify right side
    376,917.60x = 106,541,849,688.19
  5. Step 5: Solve for x
    x = 106,541,849,688.19/376,917.60
  6. Step 6: Final answer
    x = 282,666.16

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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.