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Finding the Fourth Proportional to 430,199.80, 645,318.90 and 164,087.80

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Solution

The fourth proportional to 430,199.80, 645,318.90 and 164,087.80 is: 246,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,199.80 : 645,318.90 = 164,087.80 : x
  2. Step 2: Convert to fraction form
    430,199.80/645,318.90 = 164,087.80/x
  3. Step 3: Cross multiply
    430,199.80x = 645,318.90 × 164,087.80
  4. Step 4: Simplify right side
    430,199.80x = 105,888,958,599.42
  5. Step 5: Solve for x
    x = 105,888,958,599.42/430,199.80
  6. Step 6: Final answer
    x = 246,139.02

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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.