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Finding the Fourth Proportional to 430,350.80, 645,439.80 and 205,710.80

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Solution

The fourth proportional to 430,350.80, 645,439.80 and 205,710.80 is: 308,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,350.80 : 645,439.80 = 205,710.80 : x
  2. Step 2: Convert to fraction form
    430,350.80/645,439.80 = 205,710.80/x
  3. Step 3: Cross multiply
    430,350.80x = 645,439.80 × 205,710.80
  4. Step 4: Simplify right side
    430,350.80x = 132,773,937,609.84
  5. Step 5: Solve for x
    x = 132,773,937,609.84/430,350.80
  6. Step 6: Final answer
    x = 308,524.90

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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.