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Finding the Fourth Proportional to 287,110.70, 430,348.92 and 118,538.10

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Solution

The fourth proportional to 287,110.70, 430,348.92 and 118,538.10 is: 177,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,110.70 : 430,348.92 = 118,538.10 : x
  2. Step 2: Convert to fraction form
    287,110.70/430,348.92 = 118,538.10/x
  3. Step 3: Cross multiply
    287,110.70x = 430,348.92 × 118,538.10
  4. Step 4: Simplify right side
    287,110.70x = 51,012,743,313.85
  5. Step 5: Solve for x
    x = 51,012,743,313.85/287,110.70
  6. Step 6: Final answer
    x = 177,676.22

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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.