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Finding the Fourth Proportional to 309,576.04, 427,291.16 and 188,784

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Solution

The fourth proportional to 309,576.04, 427,291.16 and 188,784 is: 260,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,576.04 : 427,291.16 = 188,784 : x
  2. Step 2: Convert to fraction form
    309,576.04/427,291.16 = 188,784/x
  3. Step 3: Cross multiply
    309,576.04x = 427,291.16 × 188,784
  4. Step 4: Simplify right side
    309,576.04x = 80,665,734,349.44
  5. Step 5: Solve for x
    x = 80,665,734,349.44/309,576.04
  6. Step 6: Final answer
    x = 260,568.40

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1.5x scale

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.