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Finding the Fourth Proportional to 469,610.20, 704,415.30 and 311,325.40

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Solution

The fourth proportional to 469,610.20, 704,415.30 and 311,325.40 is: 466,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,610.20 : 704,415.30 = 311,325.40 : x
  2. Step 2: Convert to fraction form
    469,610.20/704,415.30 = 311,325.40/x
  3. Step 3: Cross multiply
    469,610.20x = 704,415.30 × 311,325.40
  4. Step 4: Simplify right side
    469,610.20x = 219,302,375,038.62
  5. Step 5: Solve for x
    x = 219,302,375,038.62/469,610.20
  6. Step 6: Final answer
    x = 466,988.10

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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.