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Finding the Fourth Proportional to 489,342.24, 734,012 and 134,356.64

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Solution

The fourth proportional to 489,342.24, 734,012 and 134,356.64 is: 201,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,342.24 : 734,012 = 134,356.64 : x
  2. Step 2: Convert to fraction form
    489,342.24/734,012 = 134,356.64/x
  3. Step 3: Cross multiply
    489,342.24x = 734,012 × 134,356.64
  4. Step 4: Simplify right side
    489,342.24x = 98,619,386,039.68
  5. Step 5: Solve for x
    x = 98,619,386,039.68/489,342.24
  6. Step 6: Final answer
    x = 201,534.59

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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.