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Finding the Fourth Proportional to 412,938.60, 619,407.90 and 146,999.40

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Solution

The fourth proportional to 412,938.60, 619,407.90 and 146,999.40 is: 220,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,938.60 : 619,407.90 = 146,999.40 : x
  2. Step 2: Convert to fraction form
    412,938.60/619,407.90 = 146,999.40/x
  3. Step 3: Cross multiply
    412,938.60x = 619,407.90 × 146,999.40
  4. Step 4: Simplify right side
    412,938.60x = 91,052,589,655.26
  5. Step 5: Solve for x
    x = 91,052,589,655.26/412,938.60
  6. Step 6: Final answer
    x = 220,499.10

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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.