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Finding the Fourth Proportional to 413,526.70, 620,305.85 and 129,243.43

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Solution

The fourth proportional to 413,526.70, 620,305.85 and 129,243.43 is: 193,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,526.70 : 620,305.85 = 129,243.43 : x
  2. Step 2: Convert to fraction form
    413,526.70/620,305.85 = 129,243.43/x
  3. Step 3: Cross multiply
    413,526.70x = 620,305.85 × 129,243.43
  4. Step 4: Simplify right side
    413,526.70x = 80,170,455,703.07
  5. Step 5: Solve for x
    x = 80,170,455,703.07/413,526.70
  6. Step 6: Final answer
    x = 193,870.08

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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.