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Finding the Fourth Proportional to 385,563.20, 578,431.20 and 148,884.80

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Solution

The fourth proportional to 385,563.20, 578,431.20 and 148,884.80 is: 223,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,563.20 : 578,431.20 = 148,884.80 : x
  2. Step 2: Convert to fraction form
    385,563.20/578,431.20 = 148,884.80/x
  3. Step 3: Cross multiply
    385,563.20x = 578,431.20 × 148,884.80
  4. Step 4: Simplify right side
    385,563.20x = 86,119,613,525.76
  5. Step 5: Solve for x
    x = 86,119,613,525.76/385,563.20
  6. Step 6: Final answer
    x = 223,360.56

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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.