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Finding the Fourth Proportional to 713,743.90, 984,961.97 and 407,913.82

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Solution

The fourth proportional to 713,743.90, 984,961.97 and 407,913.82 is: 562,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,743.90 : 984,961.97 = 407,913.82 : x
  2. Step 2: Convert to fraction form
    713,743.90/984,961.97 = 407,913.82/x
  3. Step 3: Cross multiply
    713,743.90x = 984,961.97 × 407,913.82
  4. Step 4: Simplify right side
    713,743.90x = 401,779,597,697.86
  5. Step 5: Solve for x
    x = 401,779,597,697.86/713,743.90
  6. Step 6: Final answer
    x = 562,918.43

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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.