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Finding the Fourth Proportional to 642,222.40, 962,296.80 and 405,140.80

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Solution

The fourth proportional to 642,222.40, 962,296.80 and 405,140.80 is: 607,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,222.40 : 962,296.80 = 405,140.80 : x
  2. Step 2: Convert to fraction form
    642,222.40/962,296.80 = 405,140.80/x
  3. Step 3: Cross multiply
    642,222.40x = 962,296.80 × 405,140.80
  4. Step 4: Simplify right side
    642,222.40x = 389,865,695,389.44
  5. Step 5: Solve for x
    x = 389,865,695,389.44/642,222.40
  6. Step 6: Final answer
    x = 607,057.14

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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.