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Finding the Fourth Proportional to 664,957.92, 917,414.40 and 378,406.32

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Solution

The fourth proportional to 664,957.92, 917,414.40 and 378,406.32 is: 522,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,957.92 : 917,414.40 = 378,406.32 : x
  2. Step 2: Convert to fraction form
    664,957.92/917,414.40 = 378,406.32/x
  3. Step 3: Cross multiply
    664,957.92x = 917,414.40 × 378,406.32
  4. Step 4: Simplify right side
    664,957.92x = 347,155,407,019.01
  5. Step 5: Solve for x
    x = 347,155,407,019.01/664,957.92
  6. Step 6: Final answer
    x = 522,071.24

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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.