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Finding the Fourth Proportional to 409,627.80, 614,441.70 and 339,586.20

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Solution

The fourth proportional to 409,627.80, 614,441.70 and 339,586.20 is: 509,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,627.80 : 614,441.70 = 339,586.20 : x
  2. Step 2: Convert to fraction form
    409,627.80/614,441.70 = 339,586.20/x
  3. Step 3: Cross multiply
    409,627.80x = 614,441.70 × 339,586.20
  4. Step 4: Simplify right side
    409,627.80x = 208,655,922,024.54
  5. Step 5: Solve for x
    x = 208,655,922,024.54/409,627.80
  6. Step 6: Final answer
    x = 509,379.30

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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.