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Finding the Fourth Proportional to 378,411.32, 567,614.28 and 112,172.96

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Solution

The fourth proportional to 378,411.32, 567,614.28 and 112,172.96 is: 168,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,411.32 : 567,614.28 = 112,172.96 : x
  2. Step 2: Convert to fraction form
    378,411.32/567,614.28 = 112,172.96/x
  3. Step 3: Cross multiply
    378,411.32x = 567,614.28 × 112,172.96
  4. Step 4: Simplify right side
    378,411.32x = 63,670,973,925.87
  5. Step 5: Solve for x
    x = 63,670,973,925.87/378,411.32
  6. Step 6: Final answer
    x = 168,258.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.