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Finding the Fourth Proportional to 309,957.16, 465,115.10 and 130,026.46

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Solution

The fourth proportional to 309,957.16, 465,115.10 and 130,026.46 is: 195,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,957.16 : 465,115.10 = 130,026.46 : x
  2. Step 2: Convert to fraction form
    309,957.16/465,115.10 = 130,026.46/x
  3. Step 3: Cross multiply
    309,957.16x = 465,115.10 × 130,026.46
  4. Step 4: Simplify right side
    309,957.16x = 60,477,269,945.55
  5. Step 5: Solve for x
    x = 60,477,269,945.55/309,957.16
  6. Step 6: Final answer
    x = 195,114.93

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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.