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Finding the Fourth Proportional to 542,968.64, 814,724.52 and 243,663.20

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Solution

The fourth proportional to 542,968.64, 814,724.52 and 243,663.20 is: 365,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,968.64 : 814,724.52 = 243,663.20 : x
  2. Step 2: Convert to fraction form
    542,968.64/814,724.52 = 243,663.20/x
  3. Step 3: Cross multiply
    542,968.64x = 814,724.52 × 243,663.20
  4. Step 4: Simplify right side
    542,968.64x = 198,518,383,661.66
  5. Step 5: Solve for x
    x = 198,518,383,661.66/542,968.64
  6. Step 6: Final answer
    x = 365,616.67

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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.