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Finding the Fourth Proportional to 400,369.04, 599,931.48 and 252,314

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Solution

The fourth proportional to 400,369.04, 599,931.48 and 252,314 is: 378,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,369.04 : 599,931.48 = 252,314 : x
  2. Step 2: Convert to fraction form
    400,369.04/599,931.48 = 252,314/x
  3. Step 3: Cross multiply
    400,369.04x = 599,931.48 × 252,314
  4. Step 4: Simplify right side
    400,369.04x = 151,371,111,444.72
  5. Step 5: Solve for x
    x = 151,371,111,444.72/400,369.04
  6. Step 6: Final answer
    x = 378,078.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.