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Finding the Fourth Proportional to 699,732.71, 965,389.49 and 424,178.91

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Solution

The fourth proportional to 699,732.71, 965,389.49 and 424,178.91 is: 585,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,732.71 : 965,389.49 = 424,178.91 : x
  2. Step 2: Convert to fraction form
    699,732.71/965,389.49 = 424,178.91/x
  3. Step 3: Cross multiply
    699,732.71x = 965,389.49 × 424,178.91
  4. Step 4: Simplify right side
    699,732.71x = 409,497,861,063.43
  5. Step 5: Solve for x
    x = 409,497,861,063.43/699,732.71
  6. Step 6: Final answer
    x = 585,220.41

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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.