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Finding the Fourth Proportional to 318,486.28, 439,364.10 and 205,345.48

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Solution

The fourth proportional to 318,486.28, 439,364.10 and 205,345.48 is: 283,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,486.28 : 439,364.10 = 205,345.48 : x
  2. Step 2: Convert to fraction form
    318,486.28/439,364.10 = 205,345.48/x
  3. Step 3: Cross multiply
    318,486.28x = 439,364.10 × 205,345.48
  4. Step 4: Simplify right side
    318,486.28x = 90,221,432,009.27
  5. Step 5: Solve for x
    x = 90,221,432,009.27/318,486.28
  6. Step 6: Final answer
    x = 283,282.01

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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.