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Finding the Fourth Proportional to 523,637.64, 722,619.93 and 285,173.64

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Solution

The fourth proportional to 523,637.64, 722,619.93 and 285,173.64 is: 393,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,637.64 : 722,619.93 = 285,173.64 : x
  2. Step 2: Convert to fraction form
    523,637.64/722,619.93 = 285,173.64/x
  3. Step 3: Cross multiply
    523,637.64x = 722,619.93 × 285,173.64
  4. Step 4: Simplify right side
    523,637.64x = 206,072,155,774.65
  5. Step 5: Solve for x
    x = 206,072,155,774.65/523,637.64
  6. Step 6: Final answer
    x = 393,539.62

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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.