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Finding the Fourth Proportional to 287,147.07, 430,816.52 and 127,201.28

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Solution

The fourth proportional to 287,147.07, 430,816.52 and 127,201.28 is: 190,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,147.07 : 430,816.52 = 127,201.28 : x
  2. Step 2: Convert to fraction form
    287,147.07/430,816.52 = 127,201.28/x
  3. Step 3: Cross multiply
    287,147.07x = 430,816.52 × 127,201.28
  4. Step 4: Simplify right side
    287,147.07x = 54,800,409,999.06
  5. Step 5: Solve for x
    x = 54,800,409,999.06/287,147.07
  6. Step 6: Final answer
    x = 190,844.40

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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.