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Finding the Fourth Proportional to 320,071.72, 480,165.90 and 109,730.92

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Solution

The fourth proportional to 320,071.72, 480,165.90 and 109,730.92 is: 164,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,071.72 : 480,165.90 = 109,730.92 : x
  2. Step 2: Convert to fraction form
    320,071.72/480,165.90 = 109,730.92/x
  3. Step 3: Cross multiply
    320,071.72x = 480,165.90 × 109,730.92
  4. Step 4: Simplify right side
    320,071.72x = 52,689,045,959.63
  5. Step 5: Solve for x
    x = 52,689,045,959.63/320,071.72
  6. Step 6: Final answer
    x = 164,616.37

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1.5x scale

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.