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Finding the Fourth Proportional to 470,654.40, 649,174.56 and 309,457.92

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Solution

The fourth proportional to 470,654.40, 649,174.56 and 309,457.92 is: 426,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,654.40 : 649,174.56 = 309,457.92 : x
  2. Step 2: Convert to fraction form
    470,654.40/649,174.56 = 309,457.92/x
  3. Step 3: Cross multiply
    470,654.40x = 649,174.56 × 309,457.92
  4. Step 4: Simplify right side
    470,654.40x = 200,892,209,054.52
  5. Step 5: Solve for x
    x = 200,892,209,054.52/470,654.40
  6. Step 6: Final answer
    x = 426,835.93

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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.