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Finding the Fourth Proportional to 413,666.16, 620,517.12 and 129,362.16

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Solution

The fourth proportional to 413,666.16, 620,517.12 and 129,362.16 is: 194,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,666.16 : 620,517.12 = 129,362.16 : x
  2. Step 2: Convert to fraction form
    413,666.16/620,517.12 = 129,362.16/x
  3. Step 3: Cross multiply
    413,666.16x = 620,517.12 × 129,362.16
  4. Step 4: Simplify right side
    413,666.16x = 80,271,434,960.18
  5. Step 5: Solve for x
    x = 80,271,434,960.18/413,666.16
  6. Step 6: Final answer
    x = 194,048.83

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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.