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Finding the Fourth Proportional to 470,405.72, 649,165.43 and 255,549.17

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Solution

The fourth proportional to 470,405.72, 649,165.43 and 255,549.17 is: 352,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,405.72 : 649,165.43 = 255,549.17 : x
  2. Step 2: Convert to fraction form
    470,405.72/649,165.43 = 255,549.17/x
  3. Step 3: Cross multiply
    470,405.72x = 649,165.43 × 255,549.17
  4. Step 4: Simplify right side
    470,405.72x = 165,893,689,090.98
  5. Step 5: Solve for x
    x = 165,893,689,090.98/470,405.72
  6. Step 6: Final answer
    x = 352,660.87

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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.