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Finding the Fourth Proportional to 306,816.90, 459,793.35 and 243,744.90

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Solution

The fourth proportional to 306,816.90, 459,793.35 and 243,744.90 is: 365,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,816.90 : 459,793.35 = 243,744.90 : x
  2. Step 2: Convert to fraction form
    306,816.90/459,793.35 = 243,744.90/x
  3. Step 3: Cross multiply
    306,816.90x = 459,793.35 × 243,744.90
  4. Step 4: Simplify right side
    306,816.90x = 112,072,284,116.42
  5. Step 5: Solve for x
    x = 112,072,284,116.42/306,816.90
  6. Step 6: Final answer
    x = 365,274.16

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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.