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Finding the Fourth Proportional to 524,381.80, 785,406.30 and 431,069.80

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Solution

The fourth proportional to 524,381.80, 785,406.30 and 431,069.80 is: 645,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,381.80 : 785,406.30 = 431,069.80 : x
  2. Step 2: Convert to fraction form
    524,381.80/785,406.30 = 431,069.80/x
  3. Step 3: Cross multiply
    524,381.80x = 785,406.30 × 431,069.80
  4. Step 4: Simplify right side
    524,381.80x = 338,564,936,659.74
  5. Step 5: Solve for x
    x = 338,564,936,659.74/524,381.80
  6. Step 6: Final answer
    x = 645,645.86

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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.