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Finding the Fourth Proportional to 415,986.68, 624,057.78 and 166,688.12

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Solution

The fourth proportional to 415,986.68, 624,057.78 and 166,688.12 is: 250,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,986.68 : 624,057.78 = 166,688.12 : x
  2. Step 2: Convert to fraction form
    415,986.68/624,057.78 = 166,688.12/x
  3. Step 3: Cross multiply
    415,986.68x = 624,057.78 × 166,688.12
  4. Step 4: Simplify right side
    415,986.68x = 104,023,018,119.57
  5. Step 5: Solve for x
    x = 104,023,018,119.57/415,986.68
  6. Step 6: Final answer
    x = 250,063.34

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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.