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Finding the Fourth Proportional to 485,855.40, 728,783.10 and 384,378.60

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Solution

The fourth proportional to 485,855.40, 728,783.10 and 384,378.60 is: 576,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,855.40 : 728,783.10 = 384,378.60 : x
  2. Step 2: Convert to fraction form
    485,855.40/728,783.10 = 384,378.60/x
  3. Step 3: Cross multiply
    485,855.40x = 728,783.10 × 384,378.60
  4. Step 4: Simplify right side
    485,855.40x = 280,128,627,681.66
  5. Step 5: Solve for x
    x = 280,128,627,681.66/485,855.40
  6. Step 6: Final answer
    x = 576,567.90

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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.