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Finding the Fourth Proportional to 642,730.40, 965,132.40 and 433,296.80

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Solution

The fourth proportional to 642,730.40, 965,132.40 and 433,296.80 is: 650,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,730.40 : 965,132.40 = 433,296.80 : x
  2. Step 2: Convert to fraction form
    642,730.40/965,132.40 = 433,296.80/x
  3. Step 3: Cross multiply
    642,730.40x = 965,132.40 × 433,296.80
  4. Step 4: Simplify right side
    642,730.40x = 418,188,780,496.32
  5. Step 5: Solve for x
    x = 418,188,780,496.32/642,730.40
  6. Step 6: Final answer
    x = 650,644.16

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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.