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Finding the Fourth Proportional to 713,687.85, 984,997.13 and 407,828.61

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Solution

The fourth proportional to 713,687.85, 984,997.13 and 407,828.61 is: 562,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,687.85 : 984,997.13 = 407,828.61 : x
  2. Step 2: Convert to fraction form
    713,687.85/984,997.13 = 407,828.61/x
  3. Step 3: Cross multiply
    713,687.85x = 984,997.13 × 407,828.61
  4. Step 4: Simplify right side
    713,687.85x = 401,710,008,342.75
  5. Step 5: Solve for x
    x = 401,710,008,342.75/713,687.85
  6. Step 6: Final answer
    x = 562,865.14

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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.