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Finding the Fourth Proportional to 287,249.54, 430,903.80 and 109,905.71

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Solution

The fourth proportional to 287,249.54, 430,903.80 and 109,905.71 is: 164,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,249.54 : 430,903.80 = 109,905.71 : x
  2. Step 2: Convert to fraction form
    287,249.54/430,903.80 = 109,905.71/x
  3. Step 3: Cross multiply
    287,249.54x = 430,903.80 × 109,905.71
  4. Step 4: Simplify right side
    287,249.54x = 47,358,785,926.18
  5. Step 5: Solve for x
    x = 47,358,785,926.18/287,249.54
  6. Step 6: Final answer
    x = 164,869.84

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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.