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Finding the Fourth Proportional to 409,455.30, 614,073.60 and 125,145.30

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Solution

The fourth proportional to 409,455.30, 614,073.60 and 125,145.30 is: 187,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,455.30 : 614,073.60 = 125,145.30 : x
  2. Step 2: Convert to fraction form
    409,455.30/614,073.60 = 125,145.30/x
  3. Step 3: Cross multiply
    409,455.30x = 614,073.60 × 125,145.30
  4. Step 4: Simplify right side
    409,455.30x = 76,848,424,894.08
  5. Step 5: Solve for x
    x = 76,848,424,894.08/409,455.30
  6. Step 6: Final answer
    x = 187,684.53

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1.5x scale

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.