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Finding the Fourth Proportional to 644,234.80, 966,643.80 and 307,145.20

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Solution

The fourth proportional to 644,234.80, 966,643.80 and 307,145.20 is: 460,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,234.80 : 966,643.80 = 307,145.20 : x
  2. Step 2: Convert to fraction form
    644,234.80/966,643.80 = 307,145.20/x
  3. Step 3: Cross multiply
    644,234.80x = 966,643.80 × 307,145.20
  4. Step 4: Simplify right side
    644,234.80x = 296,900,003,279.76
  5. Step 5: Solve for x
    x = 296,900,003,279.76/644,234.80
  6. Step 6: Final answer
    x = 460,856.82

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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.