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Finding the Fourth Proportional to 287,167.49, 430,820.60 and 90,175.49

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Solution

The fourth proportional to 287,167.49, 430,820.60 and 90,175.49 is: 135,285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,167.49 : 430,820.60 = 90,175.49 : x
  2. Step 2: Convert to fraction form
    287,167.49/430,820.60 = 90,175.49/x
  3. Step 3: Cross multiply
    287,167.49x = 430,820.60 × 90,175.49
  4. Step 4: Simplify right side
    287,167.49x = 38,849,458,707.09
  5. Step 5: Solve for x
    x = 38,849,458,707.09/287,167.49
  6. Step 6: Final answer
    x = 135,285.02

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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.