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Finding the Fourth Proportional to 713,678.64, 984,785.73 and 407,774.82

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Solution

The fourth proportional to 713,678.64, 984,785.73 and 407,774.82 is: 562,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,678.64 : 984,785.73 = 407,774.82 : x
  2. Step 2: Convert to fraction form
    713,678.64/984,785.73 = 407,774.82/x
  3. Step 3: Cross multiply
    713,678.64x = 984,785.73 × 407,774.82
  4. Step 4: Simplify right side
    713,678.64x = 401,570,823,789.32
  5. Step 5: Solve for x
    x = 401,570,823,789.32/713,678.64
  6. Step 6: Final answer
    x = 562,677.38

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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.