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Finding the Fourth Proportional to 470,785.65, 649,676.54 and 255,931.13

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Solution

The fourth proportional to 470,785.65, 649,676.54 and 255,931.13 is: 353,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,785.65 : 649,676.54 = 255,931.13 : x
  2. Step 2: Convert to fraction form
    470,785.65/649,676.54 = 255,931.13/x
  3. Step 3: Cross multiply
    470,785.65x = 649,676.54 × 255,931.13
  4. Step 4: Simplify right side
    470,785.65x = 166,272,446,488.65
  5. Step 5: Solve for x
    x = 166,272,446,488.65/470,785.65
  6. Step 6: Final answer
    x = 353,180.79

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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.