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Finding the Fourth Proportional to 385,328.40, 577,992.60 and 318,843.60

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Solution

The fourth proportional to 385,328.40, 577,992.60 and 318,843.60 is: 478,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,328.40 : 577,992.60 = 318,843.60 : x
  2. Step 2: Convert to fraction form
    385,328.40/577,992.60 = 318,843.60/x
  3. Step 3: Cross multiply
    385,328.40x = 577,992.60 × 318,843.60
  4. Step 4: Simplify right side
    385,328.40x = 184,289,241,357.36
  5. Step 5: Solve for x
    x = 184,289,241,357.36/385,328.40
  6. Step 6: Final answer
    x = 478,265.40

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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.