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Finding the Fourth Proportional to 409,764.40, 614,646.60 and 378,271.60

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Solution

The fourth proportional to 409,764.40, 614,646.60 and 378,271.60 is: 567,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,764.40 : 614,646.60 = 378,271.60 : x
  2. Step 2: Convert to fraction form
    409,764.40/614,646.60 = 378,271.60/x
  3. Step 3: Cross multiply
    409,764.40x = 614,646.60 × 378,271.60
  4. Step 4: Simplify right side
    409,764.40x = 232,503,352,816.56
  5. Step 5: Solve for x
    x = 232,503,352,816.56/409,764.40
  6. Step 6: Final answer
    x = 567,407.40

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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.