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Finding the Fourth Proportional to 713,420.10, 984,527.82 and 407,536.97

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Solution

The fourth proportional to 713,420.10, 984,527.82 and 407,536.97 is: 562,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,420.10 : 984,527.82 = 407,536.97 : x
  2. Step 2: Convert to fraction form
    713,420.10/984,527.82 = 407,536.97/x
  3. Step 3: Cross multiply
    713,420.10x = 984,527.82 × 407,536.97
  4. Step 4: Simplify right side
    713,420.10x = 401,231,479,720.87
  5. Step 5: Solve for x
    x = 401,231,479,720.87/713,420.10
  6. Step 6: Final answer
    x = 562,405.63

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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.