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Finding the Fourth Proportional to 420,693.50, 631,040.34 and 125,205.50

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Solution

The fourth proportional to 420,693.50, 631,040.34 and 125,205.50 is: 187,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,693.50 : 631,040.34 = 125,205.50 : x
  2. Step 2: Convert to fraction form
    420,693.50/631,040.34 = 125,205.50/x
  3. Step 3: Cross multiply
    420,693.50x = 631,040.34 × 125,205.50
  4. Step 4: Simplify right side
    420,693.50x = 79,009,721,289.87
  5. Step 5: Solve for x
    x = 79,009,721,289.87/420,693.50
  6. Step 6: Final answer
    x = 187,808.28

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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.