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Finding the Fourth Proportional to 456,506.72, 630,065.76 and 305,865.44

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Solution

The fourth proportional to 456,506.72, 630,065.76 and 305,865.44 is: 422,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,506.72 : 630,065.76 = 305,865.44 : x
  2. Step 2: Convert to fraction form
    456,506.72/630,065.76 = 305,865.44/x
  3. Step 3: Cross multiply
    456,506.72x = 630,065.76 × 305,865.44
  4. Step 4: Simplify right side
    456,506.72x = 192,715,340,911.33
  5. Step 5: Solve for x
    x = 192,715,340,911.33/456,506.72
  6. Step 6: Final answer
    x = 422,152.25

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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.