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Finding the Fourth Proportional to 293,499, 405,028.62 and 159,363

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Solution

The fourth proportional to 293,499, 405,028.62 and 159,363 is: 219,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,499 : 405,028.62 = 159,363 : x
  2. Step 2: Convert to fraction form
    293,499/405,028.62 = 159,363/x
  3. Step 3: Cross multiply
    293,499x = 405,028.62 × 159,363
  4. Step 4: Simplify right side
    293,499x = 64,546,575,969.06
  5. Step 5: Solve for x
    x = 64,546,575,969.06/293,499
  6. Step 6: Final answer
    x = 219,920.94

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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.