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Finding the Fourth Proportional to 385,214.80, 577,822.20 and 259,243.60

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Solution

The fourth proportional to 385,214.80, 577,822.20 and 259,243.60 is: 388,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,214.80 : 577,822.20 = 259,243.60 : x
  2. Step 2: Convert to fraction form
    385,214.80/577,822.20 = 259,243.60/x
  3. Step 3: Cross multiply
    385,214.80x = 577,822.20 × 259,243.60
  4. Step 4: Simplify right side
    385,214.80x = 149,796,707,287.92
  5. Step 5: Solve for x
    x = 149,796,707,287.92/385,214.80
  6. Step 6: Final answer
    x = 388,865.40

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1.5x scale

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.