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Finding the Fourth Proportional to 642,727.40, 965,127.90 and 433,293.80

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Solution

The fourth proportional to 642,727.40, 965,127.90 and 433,293.80 is: 650,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,727.40 : 965,127.90 = 433,293.80 : x
  2. Step 2: Convert to fraction form
    642,727.40/965,127.90 = 433,293.80/x
  3. Step 3: Cross multiply
    642,727.40x = 965,127.90 × 433,293.80
  4. Step 4: Simplify right side
    642,727.40x = 418,183,935,277.02
  5. Step 5: Solve for x
    x = 418,183,935,277.02/642,727.40
  6. Step 6: Final answer
    x = 650,639.66

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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.