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Finding the Fourth Proportional to 423,064.80, 634,942.80 and 409,240.80

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Solution

The fourth proportional to 423,064.80, 634,942.80 and 409,240.80 is: 614,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,064.80 : 634,942.80 = 409,240.80 : x
  2. Step 2: Convert to fraction form
    423,064.80/634,942.80 = 409,240.80/x
  3. Step 3: Cross multiply
    423,064.80x = 634,942.80 × 409,240.80
  4. Step 4: Simplify right side
    423,064.80x = 259,844,499,426.24
  5. Step 5: Solve for x
    x = 259,844,499,426.24/423,064.80
  6. Step 6: Final answer
    x = 614,195.51

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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.