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Finding the Fourth Proportional to 699,836.68, 965,442 and 413,164.72

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Solution

The fourth proportional to 699,836.68, 965,442 and 413,164.72 is: 569,970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,836.68 : 965,442 = 413,164.72 : x
  2. Step 2: Convert to fraction form
    699,836.68/965,442 = 413,164.72/x
  3. Step 3: Cross multiply
    699,836.68x = 965,442 × 413,164.72
  4. Step 4: Simplify right side
    699,836.68x = 398,886,573,606.24
  5. Step 5: Solve for x
    x = 398,886,573,606.24/699,836.68
  6. Step 6: Final answer
    x = 569,970.94

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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.