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Finding the Fourth Proportional to 665,176.86, 917,944.92 and 378,696.93

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Solution

The fourth proportional to 665,176.86, 917,944.92 and 378,696.93 is: 522,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,176.86 : 917,944.92 = 378,696.93 : x
  2. Step 2: Convert to fraction form
    665,176.86/917,944.92 = 378,696.93/x
  3. Step 3: Cross multiply
    665,176.86x = 917,944.92 × 378,696.93
  4. Step 4: Simplify right side
    665,176.86x = 347,622,921,219.61
  5. Step 5: Solve for x
    x = 347,622,921,219.61/665,176.86
  6. Step 6: Final answer
    x = 522,602.25

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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.