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Finding the Fourth Proportional to 713,785.68, 985,106.54 and 427,305.69

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Solution

The fourth proportional to 713,785.68, 985,106.54 and 427,305.69 is: 589,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,785.68 : 985,106.54 = 427,305.69 : x
  2. Step 2: Convert to fraction form
    713,785.68/985,106.54 = 427,305.69/x
  3. Step 3: Cross multiply
    713,785.68x = 985,106.54 × 427,305.69
  4. Step 4: Simplify right side
    713,785.68x = 420,941,630,866.48
  5. Step 5: Solve for x
    x = 420,941,630,866.48/713,785.68
  6. Step 6: Final answer
    x = 589,731.12

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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.