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Finding the Fourth Proportional to 491,440.16, 678,023.76 and 400,639.57

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Solution

The fourth proportional to 491,440.16, 678,023.76 and 400,639.57 is: 552,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,440.16 : 678,023.76 = 400,639.57 : x
  2. Step 2: Convert to fraction form
    491,440.16/678,023.76 = 400,639.57/x
  3. Step 3: Cross multiply
    491,440.16x = 678,023.76 × 400,639.57
  4. Step 4: Simplify right side
    491,440.16x = 271,643,147,463.52
  5. Step 5: Solve for x
    x = 271,643,147,463.52/491,440.16
  6. Step 6: Final answer
    x = 552,749.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.