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Finding the Fourth Proportional to 409,658.40, 614,487.60 and 389,383.20

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Solution

The fourth proportional to 409,658.40, 614,487.60 and 389,383.20 is: 584,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,658.40 : 614,487.60 = 389,383.20 : x
  2. Step 2: Convert to fraction form
    409,658.40/614,487.60 = 389,383.20/x
  3. Step 3: Cross multiply
    409,658.40x = 614,487.60 × 389,383.20
  4. Step 4: Simplify right side
    409,658.40x = 239,271,148,048.32
  5. Step 5: Solve for x
    x = 239,271,148,048.32/409,658.40
  6. Step 6: Final answer
    x = 584,074.80

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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.