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Finding the Fourth Proportional to 412,378.56, 569,073.15 and 240,285.78

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Solution

The fourth proportional to 412,378.56, 569,073.15 and 240,285.78 is: 331,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,378.56 : 569,073.15 = 240,285.78 : x
  2. Step 2: Convert to fraction form
    412,378.56/569,073.15 = 240,285.78/x
  3. Step 3: Cross multiply
    412,378.56x = 569,073.15 × 240,285.78
  4. Step 4: Simplify right side
    412,378.56x = 136,740,185,724.81
  5. Step 5: Solve for x
    x = 136,740,185,724.81/412,378.56
  6. Step 6: Final answer
    x = 331,588.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.