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Finding the Fourth Proportional to 430,309.60, 645,464.40 and 311,423.20

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Solution

The fourth proportional to 430,309.60, 645,464.40 and 311,423.20 is: 467,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,309.60 : 645,464.40 = 311,423.20 : x
  2. Step 2: Convert to fraction form
    430,309.60/645,464.40 = 311,423.20/x
  3. Step 3: Cross multiply
    430,309.60x = 645,464.40 × 311,423.20
  4. Step 4: Simplify right side
    430,309.60x = 201,012,588,934.08
  5. Step 5: Solve for x
    x = 201,012,588,934.08/430,309.60
  6. Step 6: Final answer
    x = 467,134.80

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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.