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Finding the Fourth Proportional to 287,546.10, 430,995.15 and 137,858.10

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Solution

The fourth proportional to 287,546.10, 430,995.15 and 137,858.10 is: 206,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,546.10 : 430,995.15 = 137,858.10 : x
  2. Step 2: Convert to fraction form
    287,546.10/430,995.15 = 137,858.10/x
  3. Step 3: Cross multiply
    287,546.10x = 430,995.15 × 137,858.10
  4. Step 4: Simplify right side
    287,546.10x = 59,416,172,488.22
  5. Step 5: Solve for x
    x = 59,416,172,488.22/287,546.10
  6. Step 6: Final answer
    x = 206,631.81

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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.