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Finding the Fourth Proportional to 287,043.92, 430,662.67 and 127,098.01

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Solution

The fourth proportional to 287,043.92, 430,662.67 and 127,098.01 is: 190,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,043.92 : 430,662.67 = 127,098.01 : x
  2. Step 2: Convert to fraction form
    287,043.92/430,662.67 = 127,098.01/x
  3. Step 3: Cross multiply
    287,043.92x = 430,662.67 × 127,098.01
  4. Step 4: Simplify right side
    287,043.92x = 54,736,368,558.87
  5. Step 5: Solve for x
    x = 54,736,368,558.87/287,043.92
  6. Step 6: Final answer
    x = 190,689.87

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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.