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Finding the Fourth Proportional to 713,723.65, 984,936.64 and 407,894.92

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Solution

The fourth proportional to 713,723.65, 984,936.64 and 407,894.92 is: 562,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,723.65 : 984,936.64 = 407,894.92 : x
  2. Step 2: Convert to fraction form
    713,723.65/984,936.64 = 407,894.92/x
  3. Step 3: Cross multiply
    713,723.65x = 984,936.64 × 407,894.92
  4. Step 4: Simplify right side
    713,723.65x = 401,750,651,977.87
  5. Step 5: Solve for x
    x = 401,750,651,977.87/713,723.65
  6. Step 6: Final answer
    x = 562,893.85

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1.5x scale

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.