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Finding the Fourth Proportional to 486,509.71, 729,834.21 and 149,578.65

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Solution

The fourth proportional to 486,509.71, 729,834.21 and 149,578.65 is: 224,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,509.71 : 729,834.21 = 149,578.65 : x
  2. Step 2: Convert to fraction form
    486,509.71/729,834.21 = 149,578.65/x
  3. Step 3: Cross multiply
    486,509.71x = 729,834.21 × 149,578.65
  4. Step 4: Simplify right side
    486,509.71x = 109,167,615,855.62
  5. Step 5: Solve for x
    x = 109,167,615,855.62/486,509.71
  6. Step 6: Final answer
    x = 224,389.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.