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Finding the Fourth Proportional to 470,498.88, 649,215.36 and 279,507.36

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Solution

The fourth proportional to 470,498.88, 649,215.36 and 279,507.36 is: 385,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,498.88 : 649,215.36 = 279,507.36 : x
  2. Step 2: Convert to fraction form
    470,498.88/649,215.36 = 279,507.36/x
  3. Step 3: Cross multiply
    470,498.88x = 649,215.36 × 279,507.36
  4. Step 4: Simplify right side
    470,498.88x = 181,460,471,345.05
  5. Step 5: Solve for x
    x = 181,460,471,345.05/470,498.88
  6. Step 6: Final answer
    x = 385,676.73

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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.