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Finding the Fourth Proportional to 287,138.48, 430,775.88 and 90,146.48

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Solution

The fourth proportional to 287,138.48, 430,775.88 and 90,146.48 is: 135,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,138.48 : 430,775.88 = 90,146.48 : x
  2. Step 2: Convert to fraction form
    287,138.48/430,775.88 = 90,146.48/x
  3. Step 3: Cross multiply
    287,138.48x = 430,775.88 × 90,146.48
  4. Step 4: Simplify right side
    287,138.48x = 38,832,929,250.90
  5. Step 5: Solve for x
    x = 38,832,929,250.90/287,138.48
  6. Step 6: Final answer
    x = 135,241.12

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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.