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Finding the Fourth Proportional to 470,038.66, 648,660.09 and 255,179.14

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Solution

The fourth proportional to 470,038.66, 648,660.09 and 255,179.14 is: 352,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,038.66 : 648,660.09 = 255,179.14 : x
  2. Step 2: Convert to fraction form
    470,038.66/648,660.09 = 255,179.14/x
  3. Step 3: Cross multiply
    470,038.66x = 648,660.09 × 255,179.14
  4. Step 4: Simplify right side
    470,038.66x = 165,524,523,918.52
  5. Step 5: Solve for x
    x = 165,524,523,918.52/470,038.66
  6. Step 6: Final answer
    x = 352,150.87

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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.