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Finding the Fourth Proportional to 470,496.78, 648,098.34 and 379,598.38

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Solution

The fourth proportional to 470,496.78, 648,098.34 and 379,598.38 is: 522,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,496.78 : 648,098.34 = 379,598.38 : x
  2. Step 2: Convert to fraction form
    470,496.78/648,098.34 = 379,598.38/x
  3. Step 3: Cross multiply
    470,496.78x = 648,098.34 × 379,598.38
  4. Step 4: Simplify right side
    470,496.78x = 246,017,079,944.69
  5. Step 5: Solve for x
    x = 246,017,079,944.69/470,496.78
  6. Step 6: Final answer
    x = 522,887.91

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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.