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Finding the Fourth Proportional to 665,178.32, 917,946.90 and 378,698.38

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Solution

The fourth proportional to 665,178.32, 917,946.90 and 378,698.38 is: 522,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,178.32 : 917,946.90 = 378,698.38 : x
  2. Step 2: Convert to fraction form
    665,178.32/917,946.90 = 378,698.38/x
  3. Step 3: Cross multiply
    665,178.32x = 917,946.90 × 378,698.38
  4. Step 4: Simplify right side
    665,178.32x = 347,625,003,956.02
  5. Step 5: Solve for x
    x = 347,625,003,956.02/665,178.32
  6. Step 6: Final answer
    x = 522,604.23

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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.