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Finding the Fourth Proportional to 642,242.40, 962,326.80 and 405,160.80

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Solution

The fourth proportional to 642,242.40, 962,326.80 and 405,160.80 is: 607,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,242.40 : 962,326.80 = 405,160.80 : x
  2. Step 2: Convert to fraction form
    642,242.40/962,326.80 = 405,160.80/x
  3. Step 3: Cross multiply
    642,242.40x = 962,326.80 × 405,160.80
  4. Step 4: Simplify right side
    642,242.40x = 389,897,096,149.44
  5. Step 5: Solve for x
    x = 389,897,096,149.44/642,242.40
  6. Step 6: Final answer
    x = 607,087.13

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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.