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Finding the Fourth Proportional to 713,700.45, 984,958.74 and 407,770.28

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Solution

The fourth proportional to 713,700.45, 984,958.74 and 407,770.28 is: 562,752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,700.45 : 984,958.74 = 407,770.28 : x
  2. Step 2: Convert to fraction form
    713,700.45/984,958.74 = 407,770.28/x
  3. Step 3: Cross multiply
    713,700.45x = 984,958.74 × 407,770.28
  4. Step 4: Simplify right side
    713,700.45x = 401,636,896,273.45
  5. Step 5: Solve for x
    x = 401,636,896,273.45/713,700.45
  6. Step 6: Final answer
    x = 562,752.76

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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.