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Finding the Fourth Proportional to 713,742.61, 984,874.03 and 407,838.82

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Solution

The fourth proportional to 713,742.61, 984,874.03 and 407,838.82 is: 562,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,742.61 : 984,874.03 = 407,838.82 : x
  2. Step 2: Convert to fraction form
    713,742.61/984,874.03 = 407,838.82/x
  3. Step 3: Cross multiply
    713,742.61x = 984,874.03 × 407,838.82
  4. Step 4: Simplify right side
    713,742.61x = 401,669,862,243.85
  5. Step 5: Solve for x
    x = 401,669,862,243.85/713,742.61
  6. Step 6: Final answer
    x = 562,765.70

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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.