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Finding the Fourth Proportional to 517,344.08, 713,929.66 and 287,897.44

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Solution

The fourth proportional to 517,344.08, 713,929.66 and 287,897.44 is: 397,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,344.08 : 713,929.66 = 287,897.44 : x
  2. Step 2: Convert to fraction form
    517,344.08/713,929.66 = 287,897.44/x
  3. Step 3: Cross multiply
    517,344.08x = 713,929.66 × 287,897.44
  4. Step 4: Simplify right side
    517,344.08x = 205,538,521,454.07
  5. Step 5: Solve for x
    x = 205,538,521,454.07/517,344.08
  6. Step 6: Final answer
    x = 397,295.59

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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.