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Finding the Fourth Proportional to 664,516.32, 917,000.64 and 378,009.60

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Solution

The fourth proportional to 664,516.32, 917,000.64 and 378,009.60 is: 521,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,516.32 : 917,000.64 = 378,009.60 : x
  2. Step 2: Convert to fraction form
    664,516.32/917,000.64 = 378,009.60/x
  3. Step 3: Cross multiply
    664,516.32x = 917,000.64 × 378,009.60
  4. Step 4: Simplify right side
    664,516.32x = 346,635,045,126.14
  5. Step 5: Solve for x
    x = 346,635,045,126.14/664,516.32
  6. Step 6: Final answer
    x = 521,635.11

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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.