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Finding the Fourth Proportional to 664,584.96, 917,112.96 and 362,784

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Solution

The fourth proportional to 664,584.96, 917,112.96 and 362,784 is: 500,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,584.96 : 917,112.96 = 362,784 : x
  2. Step 2: Convert to fraction form
    664,584.96/917,112.96 = 362,784/x
  3. Step 3: Cross multiply
    664,584.96x = 917,112.96 × 362,784
  4. Step 4: Simplify right side
    664,584.96x = 332,713,908,080.64
  5. Step 5: Solve for x
    x = 332,713,908,080.64/664,584.96
  6. Step 6: Final answer
    x = 500,634.12

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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.