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Finding the Fourth Proportional to 470,308.68, 649,029.38 and 255,448.78

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Solution

The fourth proportional to 470,308.68, 649,029.38 and 255,448.78 is: 352,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,308.68 : 649,029.38 = 255,448.78 : x
  2. Step 2: Convert to fraction form
    470,308.68/649,029.38 = 255,448.78/x
  3. Step 3: Cross multiply
    470,308.68x = 649,029.38 × 255,448.78
  4. Step 4: Simplify right side
    470,308.68x = 165,793,760,405.34
  5. Step 5: Solve for x
    x = 165,793,760,405.34/470,308.68
  6. Step 6: Final answer
    x = 352,521.16

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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.