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Finding the Fourth Proportional to 713,728.39, 984,943.19 and 407,899.67

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Solution

The fourth proportional to 713,728.39, 984,943.19 and 407,899.67 is: 562,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,728.39 : 984,943.19 = 407,899.67 : x
  2. Step 2: Convert to fraction form
    713,728.39/984,943.19 = 407,899.67/x
  3. Step 3: Cross multiply
    713,728.39x = 984,943.19 × 407,899.67
  4. Step 4: Simplify right side
    713,728.39x = 401,758,006,575.24
  5. Step 5: Solve for x
    x = 401,758,006,575.24/713,728.39
  6. Step 6: Final answer
    x = 562,900.42

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Double scale
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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.