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Finding the Fourth Proportional to 456,578.20, 630,224.22 and 320,645.08

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Solution

The fourth proportional to 456,578.20, 630,224.22 and 320,645.08 is: 442,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,578.20 : 630,224.22 = 320,645.08 : x
  2. Step 2: Convert to fraction form
    456,578.20/630,224.22 = 320,645.08/x
  3. Step 3: Cross multiply
    456,578.20x = 630,224.22 × 320,645.08
  4. Step 4: Simplify right side
    456,578.20x = 202,078,295,439.84
  5. Step 5: Solve for x
    x = 202,078,295,439.84/456,578.20
  6. Step 6: Final answer
    x = 442,592.96

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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.