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Finding the Fourth Proportional to 412,693.80, 619,040.70 and 319,381.80

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Solution

The fourth proportional to 412,693.80, 619,040.70 and 319,381.80 is: 479,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,693.80 : 619,040.70 = 319,381.80 : x
  2. Step 2: Convert to fraction form
    412,693.80/619,040.70 = 319,381.80/x
  3. Step 3: Cross multiply
    412,693.80x = 619,040.70 × 319,381.80
  4. Step 4: Simplify right side
    412,693.80x = 197,710,333,039.26
  5. Step 5: Solve for x
    x = 197,710,333,039.26/412,693.80
  6. Step 6: Final answer
    x = 479,072.70

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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.