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Finding the Fourth Proportional to 509,497.91, 703,138.61 and 424,467.35

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Solution

The fourth proportional to 509,497.91, 703,138.61 and 424,467.35 is: 585,791.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,497.91 : 703,138.61 = 424,467.35 : x
  2. Step 2: Convert to fraction form
    509,497.91/703,138.61 = 424,467.35/x
  3. Step 3: Cross multiply
    509,497.91x = 703,138.61 × 424,467.35
  4. Step 4: Simplify right side
    509,497.91x = 298,459,382,651.63
  5. Step 5: Solve for x
    x = 298,459,382,651.63/509,497.91
  6. Step 6: Final answer
    x = 585,791.18

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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.