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Finding the Fourth Proportional to 524,403.80, 785,439.30 and 431,091.80

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Solution

The fourth proportional to 524,403.80, 785,439.30 and 431,091.80 is: 645,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,403.80 : 785,439.30 = 431,091.80 : x
  2. Step 2: Convert to fraction form
    524,403.80/785,439.30 = 431,091.80/x
  3. Step 3: Cross multiply
    524,403.80x = 785,439.30 × 431,091.80
  4. Step 4: Simplify right side
    524,403.80x = 338,596,441,627.74
  5. Step 5: Solve for x
    x = 338,596,441,627.74/524,403.80
  6. Step 6: Final answer
    x = 645,678.85

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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.