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Finding the Fourth Proportional to 287,258.54, 430,917.30 and 109,914.71

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Solution

The fourth proportional to 287,258.54, 430,917.30 and 109,914.71 is: 164,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,258.54 : 430,917.30 = 109,914.71 : x
  2. Step 2: Convert to fraction form
    287,258.54/430,917.30 = 109,914.71/x
  3. Step 3: Cross multiply
    287,258.54x = 430,917.30 × 109,914.71
  4. Step 4: Simplify right side
    287,258.54x = 47,364,147,908.90
  5. Step 5: Solve for x
    x = 47,364,147,908.90/287,258.54
  6. Step 6: Final answer
    x = 164,883.34

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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.