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Finding the Fourth Proportional to 469,905.10, 704,857.65 and 154,285.90

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Solution

The fourth proportional to 469,905.10, 704,857.65 and 154,285.90 is: 231,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,905.10 : 704,857.65 = 154,285.90 : x
  2. Step 2: Convert to fraction form
    469,905.10/704,857.65 = 154,285.90/x
  3. Step 3: Cross multiply
    469,905.10x = 704,857.65 × 154,285.90
  4. Step 4: Simplify right side
    469,905.10x = 108,749,596,902.14
  5. Step 5: Solve for x
    x = 108,749,596,902.14/469,905.10
  6. Step 6: Final answer
    x = 231,428.85

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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.