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Finding the Fourth Proportional to 317,987.60, 438,864.36 and 205,138.64

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Solution

The fourth proportional to 317,987.60, 438,864.36 and 205,138.64 is: 283,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,987.60 : 438,864.36 = 205,138.64 : x
  2. Step 2: Convert to fraction form
    317,987.60/438,864.36 = 205,138.64/x
  3. Step 3: Cross multiply
    317,987.60x = 438,864.36 × 205,138.64
  4. Step 4: Simplify right side
    317,987.60x = 90,028,037,954.87
  5. Step 5: Solve for x
    x = 90,028,037,954.87/317,987.60
  6. Step 6: Final answer
    x = 283,118.08

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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.