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Finding the Fourth Proportional to 412,014.72, 616,965.12 and 285,475.20

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Solution

The fourth proportional to 412,014.72, 616,965.12 and 285,475.20 is: 427,480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,014.72 : 616,965.12 = 285,475.20 : x
  2. Step 2: Convert to fraction form
    412,014.72/616,965.12 = 285,475.20/x
  3. Step 3: Cross multiply
    412,014.72x = 616,965.12 × 285,475.20
  4. Step 4: Simplify right side
    412,014.72x = 176,128,241,025.02
  5. Step 5: Solve for x
    x = 176,128,241,025.02/412,014.72
  6. Step 6: Final answer
    x = 427,480.46

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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.