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Finding the Fourth Proportional to 470,355.74, 649,090.40 and 255,495.96

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Solution

The fourth proportional to 470,355.74, 649,090.40 and 255,495.96 is: 352,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,355.74 : 649,090.40 = 255,495.96 : x
  2. Step 2: Convert to fraction form
    470,355.74/649,090.40 = 255,495.96/x
  3. Step 3: Cross multiply
    470,355.74x = 649,090.40 × 255,495.96
  4. Step 4: Simplify right side
    470,355.74x = 165,839,974,874.78
  5. Step 5: Solve for x
    x = 165,839,974,874.78/470,355.74
  6. Step 6: Final answer
    x = 352,584.14

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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.