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Finding the Fourth Proportional to 318,681.96, 439,823.16 and 205,832.76

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Solution

The fourth proportional to 318,681.96, 439,823.16 and 205,832.76 is: 284,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,681.96 : 439,823.16 = 205,832.76 : x
  2. Step 2: Convert to fraction form
    318,681.96/439,823.16 = 205,832.76/x
  3. Step 3: Cross multiply
    318,681.96x = 439,823.16 × 205,832.76
  4. Step 4: Simplify right side
    318,681.96x = 90,530,014,934.72
  5. Step 5: Solve for x
    x = 90,530,014,934.72/318,681.96
  6. Step 6: Final answer
    x = 284,076.37

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1.5x scale

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.