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Finding the Fourth Proportional to 642,064.41, 963,365.42 and 282,049.57

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Solution

The fourth proportional to 642,064.41, 963,365.42 and 282,049.57 is: 423,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,064.41 : 963,365.42 = 282,049.57 : x
  2. Step 2: Convert to fraction form
    642,064.41/963,365.42 = 282,049.57/x
  3. Step 3: Cross multiply
    642,064.41x = 963,365.42 × 282,049.57
  4. Step 4: Simplify right side
    642,064.41x = 271,716,802,463.87
  5. Step 5: Solve for x
    x = 271,716,802,463.87/642,064.41
  6. Step 6: Final answer
    x = 423,192.44

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1.5x scale

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.