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Finding the Fourth Proportional to 706,568.91, 975,065.57 and 396,428.68

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Solution

The fourth proportional to 706,568.91, 975,065.57 and 396,428.68 is: 547,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,568.91 : 975,065.57 = 396,428.68 : x
  2. Step 2: Convert to fraction form
    706,568.91/975,065.57 = 396,428.68/x
  3. Step 3: Cross multiply
    706,568.91x = 975,065.57 × 396,428.68
  4. Step 4: Simplify right side
    706,568.91x = 386,543,956,828.55
  5. Step 5: Solve for x
    x = 386,543,956,828.55/706,568.91
  6. Step 6: Final answer
    x = 547,071.84

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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.