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Finding the Fourth Proportional to 713,741.61, 984,872.65 and 407,837.82

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Solution

The fourth proportional to 713,741.61, 984,872.65 and 407,837.82 is: 562,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,741.61 : 984,872.65 = 407,837.82 : x
  2. Step 2: Convert to fraction form
    713,741.61/984,872.65 = 407,837.82/x
  3. Step 3: Cross multiply
    713,741.61x = 984,872.65 × 407,837.82
  4. Step 4: Simplify right side
    713,741.61x = 401,668,314,553.62
  5. Step 5: Solve for x
    x = 401,668,314,553.62/713,741.61
  6. Step 6: Final answer
    x = 562,764.32

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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.