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Finding the Fourth Proportional to 307,609.21, 461,411.01 and 97,247.20

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Solution

The fourth proportional to 307,609.21, 461,411.01 and 97,247.20 is: 145,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,609.21 : 461,411.01 = 97,247.20 : x
  2. Step 2: Convert to fraction form
    307,609.21/461,411.01 = 97,247.20/x
  3. Step 3: Cross multiply
    307,609.21x = 461,411.01 × 97,247.20
  4. Step 4: Simplify right side
    307,609.21x = 44,870,928,771.67
  5. Step 5: Solve for x
    x = 44,870,928,771.67/307,609.21
  6. Step 6: Final answer
    x = 145,869.91

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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.