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Finding the Fourth Proportional to 257,313.75, 386,007.83 and 97,346.31

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Solution

The fourth proportional to 257,313.75, 386,007.83 and 97,346.31 is: 146,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,313.75 : 386,007.83 = 97,346.31 : x
  2. Step 2: Convert to fraction form
    257,313.75/386,007.83 = 97,346.31/x
  3. Step 3: Cross multiply
    257,313.75x = 386,007.83 × 97,346.31
  4. Step 4: Simplify right side
    257,313.75x = 37,576,437,881.61
  5. Step 5: Solve for x
    x = 37,576,437,881.61/257,313.75
  6. Step 6: Final answer
    x = 146,033.54

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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.