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Finding the Fourth Proportional to 409,658.40, 614,487.60 and 339,674.40

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Solution

The fourth proportional to 409,658.40, 614,487.60 and 339,674.40 is: 509,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,658.40 : 614,487.60 = 339,674.40 : x
  2. Step 2: Convert to fraction form
    409,658.40/614,487.60 = 339,674.40/x
  3. Step 3: Cross multiply
    409,658.40x = 614,487.60 × 339,674.40
  4. Step 4: Simplify right side
    409,658.40x = 208,725,706,837.44
  5. Step 5: Solve for x
    x = 208,725,706,837.44/409,658.40
  6. Step 6: Final answer
    x = 509,511.60

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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.