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Finding the Fourth Proportional to 439,380.96, 657,496.80 and 380,420.16

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Solution

The fourth proportional to 439,380.96, 657,496.80 and 380,420.16 is: 569,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,380.96 : 657,496.80 = 380,420.16 : x
  2. Step 2: Convert to fraction form
    439,380.96/657,496.80 = 380,420.16/x
  3. Step 3: Cross multiply
    439,380.96x = 657,496.80 × 380,420.16
  4. Step 4: Simplify right side
    439,380.96x = 250,125,037,855.49
  5. Step 5: Solve for x
    x = 250,125,037,855.49/439,380.96
  6. Step 6: Final answer
    x = 569,266.90

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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.