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Finding the Fourth Proportional to 470,671.48, 649,442.10 and 279,731.80

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Solution

The fourth proportional to 470,671.48, 649,442.10 and 279,731.80 is: 385,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,671.48 : 649,442.10 = 279,731.80 : x
  2. Step 2: Convert to fraction form
    470,671.48/649,442.10 = 279,731.80/x
  3. Step 3: Cross multiply
    470,671.48x = 649,442.10 × 279,731.80
  4. Step 4: Simplify right side
    470,671.48x = 181,669,607,628.78
  5. Step 5: Solve for x
    x = 181,669,607,628.78/470,671.48
  6. Step 6: Final answer
    x = 385,979.64

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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.