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Finding the Fourth Proportional to 644,471.80, 965,235.21 and 307,748.32

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Solution

The fourth proportional to 644,471.80, 965,235.21 and 307,748.32 is: 460,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,471.80 : 965,235.21 = 307,748.32 : x
  2. Step 2: Convert to fraction form
    644,471.80/965,235.21 = 307,748.32/x
  3. Step 3: Cross multiply
    644,471.80x = 965,235.21 × 307,748.32
  4. Step 4: Simplify right side
    644,471.80x = 297,049,514,282.35
  5. Step 5: Solve for x
    x = 297,049,514,282.35/644,471.80
  6. Step 6: Final answer
    x = 460,919.34

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Double scale
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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.