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Finding the Fourth Proportional to 307,520.07, 461,277.36 and 97,158

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Solution

The fourth proportional to 307,520.07, 461,277.36 and 97,158 is: 145,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,520.07 : 461,277.36 = 97,158 : x
  2. Step 2: Convert to fraction form
    307,520.07/461,277.36 = 97,158/x
  3. Step 3: Cross multiply
    307,520.07x = 461,277.36 × 97,158
  4. Step 4: Simplify right side
    307,520.07x = 44,816,785,742.88
  5. Step 5: Solve for x
    x = 44,816,785,742.88/307,520.07
  6. Step 6: Final answer
    x = 145,736.13

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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.