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Finding the Fourth Proportional to 243,041.60, 364,562.40 and 148,563.20

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Solution

The fourth proportional to 243,041.60, 364,562.40 and 148,563.20 is: 222,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,041.60 : 364,562.40 = 148,563.20 : x
  2. Step 2: Convert to fraction form
    243,041.60/364,562.40 = 148,563.20/x
  3. Step 3: Cross multiply
    243,041.60x = 364,562.40 × 148,563.20
  4. Step 4: Simplify right side
    243,041.60x = 54,160,556,743.68
  5. Step 5: Solve for x
    x = 54,160,556,743.68/243,041.60
  6. Step 6: Final answer
    x = 222,844.80

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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.