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Finding the Fourth Proportional to 307,715.10, 461,529.45 and 97,374.30

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Solution

The fourth proportional to 307,715.10, 461,529.45 and 97,374.30 is: 146,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,715.10 : 461,529.45 = 97,374.30 : x
  2. Step 2: Convert to fraction form
    307,715.10/461,529.45 = 97,374.30/x
  3. Step 3: Cross multiply
    307,715.10x = 461,529.45 × 97,374.30
  4. Step 4: Simplify right side
    307,715.10x = 44,941,107,123.14
  5. Step 5: Solve for x
    x = 44,941,107,123.14/307,715.10
  6. Step 6: Final answer
    x = 146,047.78

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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.