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Finding the Fourth Proportional to 420,734.44, 630,634.14 and 320,564.32

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Solution

The fourth proportional to 420,734.44, 630,634.14 and 320,564.32 is: 480,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,734.44 : 630,634.14 = 320,564.32 : x
  2. Step 2: Convert to fraction form
    420,734.44/630,634.14 = 320,564.32/x
  3. Step 3: Cross multiply
    420,734.44x = 630,634.14 × 320,564.32
  4. Step 4: Simplify right side
    420,734.44x = 202,158,804,257.89
  5. Step 5: Solve for x
    x = 202,158,804,257.89/420,734.44
  6. Step 6: Final answer
    x = 480,490.27

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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.