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Finding the Fourth Proportional to 713,672.64, 984,777.45 and 407,768.83

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Solution

The fourth proportional to 713,672.64, 984,777.45 and 407,768.83 is: 562,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,672.64 : 984,777.45 = 407,768.83 : x
  2. Step 2: Convert to fraction form
    713,672.64/984,777.45 = 407,768.83/x
  3. Step 3: Cross multiply
    713,672.64x = 984,777.45 × 407,768.83
  4. Step 4: Simplify right side
    713,672.64x = 401,561,550,145.18
  5. Step 5: Solve for x
    x = 401,561,550,145.18/713,672.64
  6. Step 6: Final answer
    x = 562,669.11

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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.