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Finding the Fourth Proportional to 430,090.20, 645,426.90 and 279,964.80

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Solution

The fourth proportional to 430,090.20, 645,426.90 and 279,964.80 is: 420,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,090.20 : 645,426.90 = 279,964.80 : x
  2. Step 2: Convert to fraction form
    430,090.20/645,426.90 = 279,964.80/x
  3. Step 3: Cross multiply
    430,090.20x = 645,426.90 × 279,964.80
  4. Step 4: Simplify right side
    430,090.20x = 180,696,812,973.12
  5. Step 5: Solve for x
    x = 180,696,812,973.12/430,090.20
  6. Step 6: Final answer
    x = 420,137.02

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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.