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Finding the Fourth Proportional to 402,031.72, 603,113.10 and 135,808.12

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Solution

The fourth proportional to 402,031.72, 603,113.10 and 135,808.12 is: 203,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,031.72 : 603,113.10 = 135,808.12 : x
  2. Step 2: Convert to fraction form
    402,031.72/603,113.10 = 135,808.12/x
  3. Step 3: Cross multiply
    402,031.72x = 603,113.10 × 135,808.12
  4. Step 4: Simplify right side
    402,031.72x = 81,907,656,258.37
  5. Step 5: Solve for x
    x = 81,907,656,258.37/402,031.72
  6. Step 6: Final answer
    x = 203,734.31

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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.