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Finding the Fourth Proportional to 293,455, 404,967.90 and 159,319

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Solution

The fourth proportional to 293,455, 404,967.90 and 159,319 is: 219,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,455 : 404,967.90 = 159,319 : x
  2. Step 2: Convert to fraction form
    293,455/404,967.90 = 159,319/x
  3. Step 3: Cross multiply
    293,455x = 404,967.90 × 159,319
  4. Step 4: Simplify right side
    293,455x = 64,519,080,860.10
  5. Step 5: Solve for x
    x = 64,519,080,860.10/293,455
  6. Step 6: Final answer
    x = 219,860.22

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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.