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Finding the Fourth Proportional to 430,486.72, 645,729 and 205,164.16

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Solution

The fourth proportional to 430,486.72, 645,729 and 205,164.16 is: 307,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,486.72 : 645,729 = 205,164.16 : x
  2. Step 2: Convert to fraction form
    430,486.72/645,729 = 205,164.16/x
  3. Step 3: Cross multiply
    430,486.72x = 645,729 × 205,164.16
  4. Step 4: Simplify right side
    430,486.72x = 132,480,447,872.64
  5. Step 5: Solve for x
    x = 132,480,447,872.64/430,486.72
  6. Step 6: Final answer
    x = 307,745.73

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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.