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Finding the Fourth Proportional to 496,287.12, 684,509.52 and 314,842.56

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Solution

The fourth proportional to 496,287.12, 684,509.52 and 314,842.56 is: 434,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,287.12 : 684,509.52 = 314,842.56 : x
  2. Step 2: Convert to fraction form
    496,287.12/684,509.52 = 314,842.56/x
  3. Step 3: Cross multiply
    496,287.12x = 684,509.52 × 314,842.56
  4. Step 4: Simplify right side
    496,287.12x = 215,512,729,621.17
  5. Step 5: Solve for x
    x = 215,512,729,621.17/496,287.12
  6. Step 6: Final answer
    x = 434,250.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.