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Finding the Fourth Proportional to 517,398.84, 713,992.32 and 287,948.52

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Solution

The fourth proportional to 517,398.84, 713,992.32 and 287,948.52 is: 397,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,398.84 : 713,992.32 = 287,948.52 : x
  2. Step 2: Convert to fraction form
    517,398.84/713,992.32 = 287,948.52/x
  3. Step 3: Cross multiply
    517,398.84x = 713,992.32 × 287,948.52
  4. Step 4: Simplify right side
    517,398.84x = 205,593,031,835.37
  5. Step 5: Solve for x
    x = 205,593,031,835.37/517,398.84
  6. Step 6: Final answer
    x = 397,358.90

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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.