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Finding the Fourth Proportional to 385,752.80, 578,629.20 and 324,927.20

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Solution

The fourth proportional to 385,752.80, 578,629.20 and 324,927.20 is: 487,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,752.80 : 578,629.20 = 324,927.20 : x
  2. Step 2: Convert to fraction form
    385,752.80/578,629.20 = 324,927.20/x
  3. Step 3: Cross multiply
    385,752.80x = 578,629.20 × 324,927.20
  4. Step 4: Simplify right side
    385,752.80x = 188,012,365,794.24
  5. Step 5: Solve for x
    x = 188,012,365,794.24/385,752.80
  6. Step 6: Final answer
    x = 487,390.80

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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.