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Finding the Fourth Proportional to 498,763.99, 748,376.03 and 309,446.74

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Solution

The fourth proportional to 498,763.99, 748,376.03 and 309,446.74 is: 464,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,763.99 : 748,376.03 = 309,446.74 : x
  2. Step 2: Convert to fraction form
    498,763.99/748,376.03 = 309,446.74/x
  3. Step 3: Cross multiply
    498,763.99x = 748,376.03 × 309,446.74
  4. Step 4: Simplify right side
    498,763.99x = 231,582,522,777.64
  5. Step 5: Solve for x
    x = 231,582,522,777.64/498,763.99
  6. Step 6: Final answer
    x = 464,312.84

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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.