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Finding the Fourth Proportional to 713,785.56, 985,106.37 and 427,305.57

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Solution

The fourth proportional to 713,785.56, 985,106.37 and 427,305.57 is: 589,730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,785.56 : 985,106.37 = 427,305.57 : x
  2. Step 2: Convert to fraction form
    713,785.56/985,106.37 = 427,305.57/x
  3. Step 3: Cross multiply
    713,785.56x = 985,106.37 × 427,305.57
  4. Step 4: Simplify right side
    713,785.56x = 420,941,438,943.48
  5. Step 5: Solve for x
    x = 420,941,438,943.48/713,785.56
  6. Step 6: Final answer
    x = 589,730.95

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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.