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Finding the Fourth Proportional to 412,423.80, 618,635.70 and 319,111.80

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Solution

The fourth proportional to 412,423.80, 618,635.70 and 319,111.80 is: 478,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,423.80 : 618,635.70 = 319,111.80 : x
  2. Step 2: Convert to fraction form
    412,423.80/618,635.70 = 319,111.80/x
  3. Step 3: Cross multiply
    412,423.80x = 618,635.70 × 319,111.80
  4. Step 4: Simplify right side
    412,423.80x = 197,413,951,771.26
  5. Step 5: Solve for x
    x = 197,413,951,771.26/412,423.80
  6. Step 6: Final answer
    x = 478,667.70

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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.