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Finding the Fourth Proportional to 377,116.90, 520,431.55 and 205,046.44

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Solution

The fourth proportional to 377,116.90, 520,431.55 and 205,046.44 is: 282,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,116.90 : 520,431.55 = 205,046.44 : x
  2. Step 2: Convert to fraction form
    377,116.90/520,431.55 = 205,046.44/x
  3. Step 3: Cross multiply
    377,116.90x = 520,431.55 × 205,046.44
  4. Step 4: Simplify right side
    377,116.90x = 106,712,634,777.49
  5. Step 5: Solve for x
    x = 106,712,634,777.49/377,116.90
  6. Step 6: Final answer
    x = 282,969.65

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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.