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Finding the Fourth Proportional to 287,294.22, 430,358.94 and 133,203.78

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Solution

The fourth proportional to 287,294.22, 430,358.94 and 133,203.78 is: 199,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,294.22 : 430,358.94 = 133,203.78 : x
  2. Step 2: Convert to fraction form
    287,294.22/430,358.94 = 133,203.78/x
  3. Step 3: Cross multiply
    287,294.22x = 430,358.94 × 133,203.78
  4. Step 4: Simplify right side
    287,294.22x = 57,325,437,564.79
  5. Step 5: Solve for x
    x = 57,325,437,564.79/287,294.22
  6. Step 6: Final answer
    x = 199,535.65

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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.